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Finding the Fourth Proportional to 652.78, 901.02 and 505.18

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Solution

The fourth proportional to 652.78, 901.02 and 505.18 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.78 : 901.02 = 505.18 : x
  2. Step 2: Convert to fraction form
    652.78/901.02 = 505.18/x
  3. Step 3: Cross multiply
    652.78x = 901.02 × 505.18
  4. Step 4: Simplify right side
    652.78x = 455,177.28
  5. Step 5: Solve for x
    x = 455,177.28/652.78
  6. Step 6: Final answer
    x = 697.29

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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.