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Finding the Fourth Proportional to 691.90, 954.48 and 456.26

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Solution

The fourth proportional to 691.90, 954.48 and 456.26 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.90 : 954.48 = 456.26 : x
  2. Step 2: Convert to fraction form
    691.90/954.48 = 456.26/x
  3. Step 3: Cross multiply
    691.90x = 954.48 × 456.26
  4. Step 4: Simplify right side
    691.90x = 435,491.04
  5. Step 5: Solve for x
    x = 435,491.04/691.90
  6. Step 6: Final answer
    x = 629.41

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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.