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Finding the Fourth Proportional to 631.67, 870.95 and 576.18

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Solution

The fourth proportional to 631.67, 870.95 and 576.18 is: 794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 870.95 = 576.18 : x
  2. Step 2: Convert to fraction form
    631.67/870.95 = 576.18/x
  3. Step 3: Cross multiply
    631.67x = 870.95 × 576.18
  4. Step 4: Simplify right side
    631.67x = 501,825.41
  5. Step 5: Solve for x
    x = 501,825.41/631.67
  6. Step 6: Final answer
    x = 794.45

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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.