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Finding the Fourth Proportional to 686.99, 948.02 and 407.24

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Solution

The fourth proportional to 686.99, 948.02 and 407.24 is: 561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.99 : 948.02 = 407.24 : x
  2. Step 2: Convert to fraction form
    686.99/948.02 = 407.24/x
  3. Step 3: Cross multiply
    686.99x = 948.02 × 407.24
  4. Step 4: Simplify right side
    686.99x = 386,068.44
  5. Step 5: Solve for x
    x = 386,068.44/686.99
  6. Step 6: Final answer
    x = 561.97

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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.