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Finding the Fourth Proportional to 1,064.65, 1,469.21 and 592.55

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Solution

The fourth proportional to 1,064.65, 1,469.21 and 592.55 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.65 : 1,469.21 = 592.55 : x
  2. Step 2: Convert to fraction form
    1,064.65/1,469.21 = 592.55/x
  3. Step 3: Cross multiply
    1,064.65x = 1,469.21 × 592.55
  4. Step 4: Simplify right side
    1,064.65x = 870,580.39
  5. Step 5: Solve for x
    x = 870,580.39/1,064.65
  6. Step 6: Final answer
    x = 817.72

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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.