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Finding the Fourth Proportional to 507.76, 698.25 and 492.40

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Solution

The fourth proportional to 507.76, 698.25 and 492.40 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 698.25 = 492.40 : x
  2. Step 2: Convert to fraction form
    507.76/698.25 = 492.40/x
  3. Step 3: Cross multiply
    507.76x = 698.25 × 492.40
  4. Step 4: Simplify right side
    507.76x = 343,818.30
  5. Step 5: Solve for x
    x = 343,818.30/507.76
  6. Step 6: Final answer
    x = 677.13

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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.