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Finding the Fourth Proportional to 589.71, 883.35 and 521.40

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Solution

The fourth proportional to 589.71, 883.35 and 521.40 is: 781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.71 : 883.35 = 521.40 : x
  2. Step 2: Convert to fraction form
    589.71/883.35 = 521.40/x
  3. Step 3: Cross multiply
    589.71x = 883.35 × 521.40
  4. Step 4: Simplify right side
    589.71x = 460,578.69
  5. Step 5: Solve for x
    x = 460,578.69/589.71
  6. Step 6: Final answer
    x = 781.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.