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Finding the Fourth Proportional to 686.95, 1,028.02 and 562.11

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Solution

The fourth proportional to 686.95, 1,028.02 and 562.11 is: 841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.95 : 1,028.02 = 562.11 : x
  2. Step 2: Convert to fraction form
    686.95/1,028.02 = 562.11/x
  3. Step 3: Cross multiply
    686.95x = 1,028.02 × 562.11
  4. Step 4: Simplify right side
    686.95x = 577,860.32
  5. Step 5: Solve for x
    x = 577,860.32/686.95
  6. Step 6: Final answer
    x = 841.20

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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.