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Finding the Fourth Proportional to 701.32, 1,054.31 and 497.35

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Solution

The fourth proportional to 701.32, 1,054.31 and 497.35 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.32 : 1,054.31 = 497.35 : x
  2. Step 2: Convert to fraction form
    701.32/1,054.31 = 497.35/x
  3. Step 3: Cross multiply
    701.32x = 1,054.31 × 497.35
  4. Step 4: Simplify right side
    701.32x = 524,361.08
  5. Step 5: Solve for x
    x = 524,361.08/701.32
  6. Step 6: Final answer
    x = 747.68

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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.