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Finding the Fourth Proportional to 642.34, 886.62 and 440.47

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Solution

The fourth proportional to 642.34, 886.62 and 440.47 is: 607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 886.62 = 440.47 : x
  2. Step 2: Convert to fraction form
    642.34/886.62 = 440.47/x
  3. Step 3: Cross multiply
    642.34x = 886.62 × 440.47
  4. Step 4: Simplify right side
    642.34x = 390,529.51
  5. Step 5: Solve for x
    x = 390,529.51/642.34
  6. Step 6: Final answer
    x = 607.98

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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.