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Finding the Fourth Proportional to 595.40, 821.58 and 346.76

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Solution

The fourth proportional to 595.40, 821.58 and 346.76 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 821.58 = 346.76 : x
  2. Step 2: Convert to fraction form
    595.40/821.58 = 346.76/x
  3. Step 3: Cross multiply
    595.40x = 821.58 × 346.76
  4. Step 4: Simplify right side
    595.40x = 284,891.08
  5. Step 5: Solve for x
    x = 284,891.08/595.40
  6. Step 6: Final answer
    x = 478.49

Related Problems

Find fourth proportional to 297.70, 410.79 and 173.38
Half scale
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Double scale
Find fourth proportional to 596.40, 822.96 and 347.76
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.