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Finding the Fourth Proportional to 743.15, 1,024.71 and 632.99

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Solution

The fourth proportional to 743.15, 1,024.71 and 632.99 is: 872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.15 : 1,024.71 = 632.99 : x
  2. Step 2: Convert to fraction form
    743.15/1,024.71 = 632.99/x
  3. Step 3: Cross multiply
    743.15x = 1,024.71 × 632.99
  4. Step 4: Simplify right side
    743.15x = 648,631.18
  5. Step 5: Solve for x
    x = 648,631.18/743.15
  6. Step 6: Final answer
    x = 872.81

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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.