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Finding the Fourth Proportional to 735.14, 1,013.92 and 469.66

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Solution

The fourth proportional to 735.14, 1,013.92 and 469.66 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,013.92 = 469.66 : x
  2. Step 2: Convert to fraction form
    735.14/1,013.92 = 469.66/x
  3. Step 3: Cross multiply
    735.14x = 1,013.92 × 469.66
  4. Step 4: Simplify right side
    735.14x = 476,197.67
  5. Step 5: Solve for x
    x = 476,197.67/735.14
  6. Step 6: Final answer
    x = 647.76

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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.