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Finding the Fourth Proportional to 588.02, 877.72 and 511.52

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Solution

The fourth proportional to 588.02, 877.72 and 511.52 is: 763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 877.72 = 511.52 : x
  2. Step 2: Convert to fraction form
    588.02/877.72 = 511.52/x
  3. Step 3: Cross multiply
    588.02x = 877.72 × 511.52
  4. Step 4: Simplify right side
    588.02x = 448,971.33
  5. Step 5: Solve for x
    x = 448,971.33/588.02
  6. Step 6: Final answer
    x = 763.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.