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Finding the Fourth Proportional to 758.96, 1,047.12 and 497.15

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Solution

The fourth proportional to 758.96, 1,047.12 and 497.15 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.96 : 1,047.12 = 497.15 : x
  2. Step 2: Convert to fraction form
    758.96/1,047.12 = 497.15/x
  3. Step 3: Cross multiply
    758.96x = 1,047.12 × 497.15
  4. Step 4: Simplify right side
    758.96x = 520,575.71
  5. Step 5: Solve for x
    x = 520,575.71/758.96
  6. Step 6: Final answer
    x = 685.91

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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.