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Finding the Fourth Proportional to 644.67, 888.53 and 469.71

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Solution

The fourth proportional to 644.67, 888.53 and 469.71 is: 647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.67 : 888.53 = 469.71 : x
  2. Step 2: Convert to fraction form
    644.67/888.53 = 469.71/x
  3. Step 3: Cross multiply
    644.67x = 888.53 × 469.71
  4. Step 4: Simplify right side
    644.67x = 417,349.08
  5. Step 5: Solve for x
    x = 417,349.08/644.67
  6. Step 6: Final answer
    x = 647.38

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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.