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Finding the Fourth Proportional to 691.08, 952.76 and 470.25

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Solution

The fourth proportional to 691.08, 952.76 and 470.25 is: 648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 952.76 = 470.25 : x
  2. Step 2: Convert to fraction form
    691.08/952.76 = 470.25/x
  3. Step 3: Cross multiply
    691.08x = 952.76 × 470.25
  4. Step 4: Simplify right side
    691.08x = 448,033.04
  5. Step 5: Solve for x
    x = 448,033.04/691.08
  6. Step 6: Final answer
    x = 648.31

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Double scale
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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.