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Finding the Fourth Proportional to 645.61, 891.08 and 424.58

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Solution

The fourth proportional to 645.61, 891.08 and 424.58 is: 586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.61 : 891.08 = 424.58 : x
  2. Step 2: Convert to fraction form
    645.61/891.08 = 424.58/x
  3. Step 3: Cross multiply
    645.61x = 891.08 × 424.58
  4. Step 4: Simplify right side
    645.61x = 378,333.63
  5. Step 5: Solve for x
    x = 378,333.63/645.61
  6. Step 6: Final answer
    x = 586.01

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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.