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Finding the Fourth Proportional to 735.20, 1,013.54 and 715.76

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Solution

The fourth proportional to 735.20, 1,013.54 and 715.76 is: 986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.20 : 1,013.54 = 715.76 : x
  2. Step 2: Convert to fraction form
    735.20/1,013.54 = 715.76/x
  3. Step 3: Cross multiply
    735.20x = 1,013.54 × 715.76
  4. Step 4: Simplify right side
    735.20x = 725,451.39
  5. Step 5: Solve for x
    x = 725,451.39/735.20
  6. Step 6: Final answer
    x = 986.74

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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.