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Finding the Fourth Proportional to 691.32, 952.74 and 470.28

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Solution

The fourth proportional to 691.32, 952.74 and 470.28 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.32 : 952.74 = 470.28 : x
  2. Step 2: Convert to fraction form
    691.32/952.74 = 470.28/x
  3. Step 3: Cross multiply
    691.32x = 952.74 × 470.28
  4. Step 4: Simplify right side
    691.32x = 448,054.57
  5. Step 5: Solve for x
    x = 448,054.57/691.32
  6. Step 6: Final answer
    x = 648.11

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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.