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Finding the Fourth Proportional to 686.48, 946.68 and 520.88

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Solution

The fourth proportional to 686.48, 946.68 and 520.88 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.48 : 946.68 = 520.88 : x
  2. Step 2: Convert to fraction form
    686.48/946.68 = 520.88/x
  3. Step 3: Cross multiply
    686.48x = 946.68 × 520.88
  4. Step 4: Simplify right side
    686.48x = 493,106.68
  5. Step 5: Solve for x
    x = 493,106.68/686.48
  6. Step 6: Final answer
    x = 718.31

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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.