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Finding the Fourth Proportional to 686.29, 946.12 and 580.96

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Solution

The fourth proportional to 686.29, 946.12 and 580.96 is: 800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.29 : 946.12 = 580.96 : x
  2. Step 2: Convert to fraction form
    686.29/946.12 = 580.96/x
  3. Step 3: Cross multiply
    686.29x = 946.12 × 580.96
  4. Step 4: Simplify right side
    686.29x = 549,657.88
  5. Step 5: Solve for x
    x = 549,657.88/686.29
  6. Step 6: Final answer
    x = 800.91

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1.5x scale

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.