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Finding the Fourth Proportional to 962.81, 1,442.66 and 633.05

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Solution

The fourth proportional to 962.81, 1,442.66 and 633.05 is: 948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.81 : 1,442.66 = 633.05 : x
  2. Step 2: Convert to fraction form
    962.81/1,442.66 = 633.05/x
  3. Step 3: Cross multiply
    962.81x = 1,442.66 × 633.05
  4. Step 4: Simplify right side
    962.81x = 913,275.91
  5. Step 5: Solve for x
    x = 913,275.91/962.81
  6. Step 6: Final answer
    x = 948.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.