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Finding the Fourth Proportional to 1,201.50, 1,801.24 and 471.60

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Solution

The fourth proportional to 1,201.50, 1,801.24 and 471.60 is: 707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.50 : 1,801.24 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,201.50/1,801.24 = 471.60/x
  3. Step 3: Cross multiply
    1,201.50x = 1,801.24 × 471.60
  4. Step 4: Simplify right side
    1,201.50x = 849,463.61
  5. Step 5: Solve for x
    x = 849,463.61/1,201.50
  6. Step 6: Final answer
    x = 707.00

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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.