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Finding the Fourth Proportional to 663.61, 915.27 and 589.00

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Solution

The fourth proportional to 663.61, 915.27 and 589.00 is: 812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 915.27 = 589.00 : x
  2. Step 2: Convert to fraction form
    663.61/915.27 = 589.00/x
  3. Step 3: Cross multiply
    663.61x = 915.27 × 589.00
  4. Step 4: Simplify right side
    663.61x = 539,089.45
  5. Step 5: Solve for x
    x = 539,089.45/663.61
  6. Step 6: Final answer
    x = 812.36

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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.