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Finding the Fourth Proportional to 924.24, 1,275.08 and 648.40

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Solution

The fourth proportional to 924.24, 1,275.08 and 648.40 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,275.08 = 648.40 : x
  2. Step 2: Convert to fraction form
    924.24/1,275.08 = 648.40/x
  3. Step 3: Cross multiply
    924.24x = 1,275.08 × 648.40
  4. Step 4: Simplify right side
    924.24x = 826,761.87
  5. Step 5: Solve for x
    x = 826,761.87/924.24
  6. Step 6: Final answer
    x = 894.53

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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.