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Finding the Fourth Proportional to 1,444.59, 2,167.22 and 457.47

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Solution

The fourth proportional to 1,444.59, 2,167.22 and 457.47 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.59 : 2,167.22 = 457.47 : x
  2. Step 2: Convert to fraction form
    1,444.59/2,167.22 = 457.47/x
  3. Step 3: Cross multiply
    1,444.59x = 2,167.22 × 457.47
  4. Step 4: Simplify right side
    1,444.59x = 991,431.00
  5. Step 5: Solve for x
    x = 991,431.00/1,444.59
  6. Step 6: Final answer
    x = 686.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.