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Finding the Fourth Proportional to 582.64, 874.72 and 497.68

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Solution

The fourth proportional to 582.64, 874.72 and 497.68 is: 747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 874.72 = 497.68 : x
  2. Step 2: Convert to fraction form
    582.64/874.72 = 497.68/x
  3. Step 3: Cross multiply
    582.64x = 874.72 × 497.68
  4. Step 4: Simplify right side
    582.64x = 435,330.65
  5. Step 5: Solve for x
    x = 435,330.65/582.64
  6. Step 6: Final answer
    x = 747.17

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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.