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Finding the Fourth Proportional to 688.52, 946.30 and 589.52

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Solution

The fourth proportional to 688.52, 946.30 and 589.52 is: 810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.52 : 946.30 = 589.52 : x
  2. Step 2: Convert to fraction form
    688.52/946.30 = 589.52/x
  3. Step 3: Cross multiply
    688.52x = 946.30 × 589.52
  4. Step 4: Simplify right side
    688.52x = 557,862.78
  5. Step 5: Solve for x
    x = 557,862.78/688.52
  6. Step 6: Final answer
    x = 810.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.