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Finding the Fourth Proportional to 890.56, 1,229 and 497.60

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Solution

The fourth proportional to 890.56, 1,229 and 497.60 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.56 : 1,229 = 497.60 : x
  2. Step 2: Convert to fraction form
    890.56/1,229 = 497.60/x
  3. Step 3: Cross multiply
    890.56x = 1,229 × 497.60
  4. Step 4: Simplify right side
    890.56x = 611,550.40
  5. Step 5: Solve for x
    x = 611,550.40/890.56
  6. Step 6: Final answer
    x = 686.70

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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.