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Finding the Fourth Proportional to 766.63, 1,152.51 and 630.70

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Solution

The fourth proportional to 766.63, 1,152.51 and 630.70 is: 948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.63 : 1,152.51 = 630.70 : x
  2. Step 2: Convert to fraction form
    766.63/1,152.51 = 630.70/x
  3. Step 3: Cross multiply
    766.63x = 1,152.51 × 630.70
  4. Step 4: Simplify right side
    766.63x = 726,888.06
  5. Step 5: Solve for x
    x = 726,888.06/766.63
  6. Step 6: Final answer
    x = 948.16

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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.