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Finding the Fourth Proportional to 686.79, 948.57 and 501.12

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Solution

The fourth proportional to 686.79, 948.57 and 501.12 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.79 : 948.57 = 501.12 : x
  2. Step 2: Convert to fraction form
    686.79/948.57 = 501.12/x
  3. Step 3: Cross multiply
    686.79x = 948.57 × 501.12
  4. Step 4: Simplify right side
    686.79x = 475,347.40
  5. Step 5: Solve for x
    x = 475,347.40/686.79
  6. Step 6: Final answer
    x = 692.13

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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.