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Finding the Fourth Proportional to 890.76, 1,229.14 and 497.70

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Solution

The fourth proportional to 890.76, 1,229.14 and 497.70 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.76 : 1,229.14 = 497.70 : x
  2. Step 2: Convert to fraction form
    890.76/1,229.14 = 497.70/x
  3. Step 3: Cross multiply
    890.76x = 1,229.14 × 497.70
  4. Step 4: Simplify right side
    890.76x = 611,742.98
  5. Step 5: Solve for x
    x = 611,742.98/890.76
  6. Step 6: Final answer
    x = 686.77

Related Problems

Find fourth proportional to 445.38, 614.57 and 248.85
Half scale
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Double scale
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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.