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Finding the Fourth Proportional to 691.52, 953.81 and 470.09

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Solution

The fourth proportional to 691.52, 953.81 and 470.09 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 953.81 = 470.09 : x
  2. Step 2: Convert to fraction form
    691.52/953.81 = 470.09/x
  3. Step 3: Cross multiply
    691.52x = 953.81 × 470.09
  4. Step 4: Simplify right side
    691.52x = 448,369.42
  5. Step 5: Solve for x
    x = 448,369.42/691.52
  6. Step 6: Final answer
    x = 648.39

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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.