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Finding the Fourth Proportional to 691.46, 953.72 and 470.02

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Solution

The fourth proportional to 691.46, 953.72 and 470.02 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.46 : 953.72 = 470.02 : x
  2. Step 2: Convert to fraction form
    691.46/953.72 = 470.02/x
  3. Step 3: Cross multiply
    691.46x = 953.72 × 470.02
  4. Step 4: Simplify right side
    691.46x = 448,260.36
  5. Step 5: Solve for x
    x = 448,260.36/691.46
  6. Step 6: Final answer
    x = 648.28

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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.