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Finding the Fourth Proportional to 594.86, 820.95 and 346.19

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Solution

The fourth proportional to 594.86, 820.95 and 346.19 is: 477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.86 : 820.95 = 346.19 : x
  2. Step 2: Convert to fraction form
    594.86/820.95 = 346.19/x
  3. Step 3: Cross multiply
    594.86x = 820.95 × 346.19
  4. Step 4: Simplify right side
    594.86x = 284,204.68
  5. Step 5: Solve for x
    x = 284,204.68/594.86
  6. Step 6: Final answer
    x = 477.77

Related Problems

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Half scale
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Double scale
Find fourth proportional to 595.86, 822.33 and 347.19
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.