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Finding the Fourth Proportional to 890.29, 1,228.59 and 497.31

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Solution

The fourth proportional to 890.29, 1,228.59 and 497.31 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.29 : 1,228.59 = 497.31 : x
  2. Step 2: Convert to fraction form
    890.29/1,228.59 = 497.31/x
  3. Step 3: Cross multiply
    890.29x = 1,228.59 × 497.31
  4. Step 4: Simplify right side
    890.29x = 610,990.09
  5. Step 5: Solve for x
    x = 610,990.09/890.29
  6. Step 6: Final answer
    x = 686.28

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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.