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Finding the Fourth Proportional to 671.61, 926.27 and 473.10

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Solution

The fourth proportional to 671.61, 926.27 and 473.10 is: 652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.61 : 926.27 = 473.10 : x
  2. Step 2: Convert to fraction form
    671.61/926.27 = 473.10/x
  3. Step 3: Cross multiply
    671.61x = 926.27 × 473.10
  4. Step 4: Simplify right side
    671.61x = 438,214.27
  5. Step 5: Solve for x
    x = 438,214.27/671.61
  6. Step 6: Final answer
    x = 652.48

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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.