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Finding the Fourth Proportional to 420.93, 633.74 and 372.47

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Solution

The fourth proportional to 420.93, 633.74 and 372.47 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 633.74 = 372.47 : x
  2. Step 2: Convert to fraction form
    420.93/633.74 = 372.47/x
  3. Step 3: Cross multiply
    420.93x = 633.74 × 372.47
  4. Step 4: Simplify right side
    420.93x = 236,044.11
  5. Step 5: Solve for x
    x = 236,044.11/420.93
  6. Step 6: Final answer
    x = 560.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.