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Finding the Fourth Proportional to 611.88, 916.78 and 589.40

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Solution

The fourth proportional to 611.88, 916.78 and 589.40 is: 883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.88 : 916.78 = 589.40 : x
  2. Step 2: Convert to fraction form
    611.88/916.78 = 589.40/x
  3. Step 3: Cross multiply
    611.88x = 916.78 × 589.40
  4. Step 4: Simplify right side
    611.88x = 540,350.13
  5. Step 5: Solve for x
    x = 540,350.13/611.88
  6. Step 6: Final answer
    x = 883.10

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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.