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Finding the Fourth Proportional to 867.93, 1,302.08 and 497.91

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Solution

The fourth proportional to 867.93, 1,302.08 and 497.91 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.93 : 1,302.08 = 497.91 : x
  2. Step 2: Convert to fraction form
    867.93/1,302.08 = 497.91/x
  3. Step 3: Cross multiply
    867.93x = 1,302.08 × 497.91
  4. Step 4: Simplify right side
    867.93x = 648,314.58
  5. Step 5: Solve for x
    x = 648,314.58/867.93
  6. Step 6: Final answer
    x = 746.97

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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.