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Finding the Fourth Proportional to 718.32, 992.64 and 532.08

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Solution

The fourth proportional to 718.32, 992.64 and 532.08 is: 735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.32 : 992.64 = 532.08 : x
  2. Step 2: Convert to fraction form
    718.32/992.64 = 532.08/x
  3. Step 3: Cross multiply
    718.32x = 992.64 × 532.08
  4. Step 4: Simplify right side
    718.32x = 528,163.89
  5. Step 5: Solve for x
    x = 528,163.89/718.32
  6. Step 6: Final answer
    x = 735.28

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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.