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Finding the Fourth Proportional to 1,689.94, 2,534.90 and 457.47

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Solution

The fourth proportional to 1,689.94, 2,534.90 and 457.47 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.94 : 2,534.90 = 457.47 : x
  2. Step 2: Convert to fraction form
    1,689.94/2,534.90 = 457.47/x
  3. Step 3: Cross multiply
    1,689.94x = 2,534.90 × 457.47
  4. Step 4: Simplify right side
    1,689.94x = 1,159,638.42
  5. Step 5: Solve for x
    x = 1,159,638.42/1,689.94
  6. Step 6: Final answer
    x = 686.20

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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.