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Finding the Fourth Proportional to 507.49, 757.49 and 470.32

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Solution

The fourth proportional to 507.49, 757.49 and 470.32 is: 702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.49 : 757.49 = 470.32 : x
  2. Step 2: Convert to fraction form
    507.49/757.49 = 470.32/x
  3. Step 3: Cross multiply
    507.49x = 757.49 × 470.32
  4. Step 4: Simplify right side
    507.49x = 356,258.45
  5. Step 5: Solve for x
    x = 356,258.45/507.49
  6. Step 6: Final answer
    x = 702.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.