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Finding the Fourth Proportional to 686.16, 1,023.12 and 609.84

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Solution

The fourth proportional to 686.16, 1,023.12 and 609.84 is: 909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 1,023.12 = 609.84 : x
  2. Step 2: Convert to fraction form
    686.16/1,023.12 = 609.84/x
  3. Step 3: Cross multiply
    686.16x = 1,023.12 × 609.84
  4. Step 4: Simplify right side
    686.16x = 623,939.50
  5. Step 5: Solve for x
    x = 623,939.50/686.16
  6. Step 6: Final answer
    x = 909.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.