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Finding the Fourth Proportional to 684.90, 946.17 and 553.68

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Solution

The fourth proportional to 684.90, 946.17 and 553.68 is: 764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 946.17 = 553.68 : x
  2. Step 2: Convert to fraction form
    684.90/946.17 = 553.68/x
  3. Step 3: Cross multiply
    684.90x = 946.17 × 553.68
  4. Step 4: Simplify right side
    684.90x = 523,875.41
  5. Step 5: Solve for x
    x = 523,875.41/684.90
  6. Step 6: Final answer
    x = 764.89

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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.