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Finding the Fourth Proportional to 589.95, 814.86 and 497.00

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Solution

The fourth proportional to 589.95, 814.86 and 497.00 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 814.86 = 497.00 : x
  2. Step 2: Convert to fraction form
    589.95/814.86 = 497.00/x
  3. Step 3: Cross multiply
    589.95x = 814.86 × 497.00
  4. Step 4: Simplify right side
    589.95x = 404,987.46
  5. Step 5: Solve for x
    x = 404,987.46/589.95
  6. Step 6: Final answer
    x = 686.48

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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.