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Finding the Fourth Proportional to 582.71, 874.06 and 547.07

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Solution

The fourth proportional to 582.71, 874.06 and 547.07 is: 820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 874.06 = 547.07 : x
  2. Step 2: Convert to fraction form
    582.71/874.06 = 547.07/x
  3. Step 3: Cross multiply
    582.71x = 874.06 × 547.07
  4. Step 4: Simplify right side
    582.71x = 478,166.27
  5. Step 5: Solve for x
    x = 478,166.27/582.71
  6. Step 6: Final answer
    x = 820.60

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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.