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Finding the Fourth Proportional to 686.77, 946.97 and 553.93

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Solution

The fourth proportional to 686.77, 946.97 and 553.93 is: 763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.77 : 946.97 = 553.93 : x
  2. Step 2: Convert to fraction form
    686.77/946.97 = 553.93/x
  3. Step 3: Cross multiply
    686.77x = 946.97 × 553.93
  4. Step 4: Simplify right side
    686.77x = 524,552.32
  5. Step 5: Solve for x
    x = 524,552.32/686.77
  6. Step 6: Final answer
    x = 763.80

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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.