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Finding the Fourth Proportional to 594.76, 820.82 and 346.12

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Solution

The fourth proportional to 594.76, 820.82 and 346.12 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.76 : 820.82 = 346.12 : x
  2. Step 2: Convert to fraction form
    594.76/820.82 = 346.12/x
  3. Step 3: Cross multiply
    594.76x = 820.82 × 346.12
  4. Step 4: Simplify right side
    594.76x = 284,102.22
  5. Step 5: Solve for x
    x = 284,102.22/594.76
  6. Step 6: Final answer
    x = 477.68

Related Problems

Find fourth proportional to 297.38, 410.41 and 173.06
Half scale
Find fourth proportional to 1,189.52, 1,641.64 and 692.24
Double scale
Find fourth proportional to 595.76, 822.20 and 347.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.