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Finding the Fourth Proportional to 730.67, 1,007.78 and 632.25

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Solution

The fourth proportional to 730.67, 1,007.78 and 632.25 is: 872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.67 : 1,007.78 = 632.25 : x
  2. Step 2: Convert to fraction form
    730.67/1,007.78 = 632.25/x
  3. Step 3: Cross multiply
    730.67x = 1,007.78 × 632.25
  4. Step 4: Simplify right side
    730.67x = 637,165.74
  5. Step 5: Solve for x
    x = 637,165.74/730.67
  6. Step 6: Final answer
    x = 872.04

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1.5x scale

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.