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Finding the Fourth Proportional to 507.38, 698.82 and 477.60

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Solution

The fourth proportional to 507.38, 698.82 and 477.60 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 698.82 = 477.60 : x
  2. Step 2: Convert to fraction form
    507.38/698.82 = 477.60/x
  3. Step 3: Cross multiply
    507.38x = 698.82 × 477.60
  4. Step 4: Simplify right side
    507.38x = 333,756.43
  5. Step 5: Solve for x
    x = 333,756.43/507.38
  6. Step 6: Final answer
    x = 657.80

Related Problems

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Double scale
Find fourth proportional to 508.38, 700.20 and 478.60
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.