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Finding the Fourth Proportional to 584.43, 807.23 and 424.65

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Solution

The fourth proportional to 584.43, 807.23 and 424.65 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 807.23 = 424.65 : x
  2. Step 2: Convert to fraction form
    584.43/807.23 = 424.65/x
  3. Step 3: Cross multiply
    584.43x = 807.23 × 424.65
  4. Step 4: Simplify right side
    584.43x = 342,788.10
  5. Step 5: Solve for x
    x = 342,788.10/584.43
  6. Step 6: Final answer
    x = 586.53

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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.