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Finding the Fourth Proportional to 947.66, 1,421.78 and 572.84

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Solution

The fourth proportional to 947.66, 1,421.78 and 572.84 is: 859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,421.78 = 572.84 : x
  2. Step 2: Convert to fraction form
    947.66/1,421.78 = 572.84/x
  3. Step 3: Cross multiply
    947.66x = 1,421.78 × 572.84
  4. Step 4: Simplify right side
    947.66x = 814,442.48
  5. Step 5: Solve for x
    x = 814,442.48/947.66
  6. Step 6: Final answer
    x = 859.42

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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.