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Finding the Fourth Proportional to 729.36, 1,088.88 and 607.92

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Solution

The fourth proportional to 729.36, 1,088.88 and 607.92 is: 907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.36 : 1,088.88 = 607.92 : x
  2. Step 2: Convert to fraction form
    729.36/1,088.88 = 607.92/x
  3. Step 3: Cross multiply
    729.36x = 1,088.88 × 607.92
  4. Step 4: Simplify right side
    729.36x = 661,951.93
  5. Step 5: Solve for x
    x = 661,951.93/729.36
  6. Step 6: Final answer
    x = 907.58

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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.