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Finding the Fourth Proportional to 1,472.64, 2,208.96 and 607.02

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Solution

The fourth proportional to 1,472.64, 2,208.96 and 607.02 is: 910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.64 : 2,208.96 = 607.02 : x
  2. Step 2: Convert to fraction form
    1,472.64/2,208.96 = 607.02/x
  3. Step 3: Cross multiply
    1,472.64x = 2,208.96 × 607.02
  4. Step 4: Simplify right side
    1,472.64x = 1,340,882.90
  5. Step 5: Solve for x
    x = 1,340,882.90/1,472.64
  6. Step 6: Final answer
    x = 910.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.