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Finding the Fourth Proportional to 1,032.40, 1,548.60 and 571.60

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Solution

The fourth proportional to 1,032.40, 1,548.60 and 571.60 is: 857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,548.60 = 571.60 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,548.60 = 571.60/x
  3. Step 3: Cross multiply
    1,032.40x = 1,548.60 × 571.60
  4. Step 4: Simplify right side
    1,032.40x = 885,179.76
  5. Step 5: Solve for x
    x = 885,179.76/1,032.40
  6. Step 6: Final answer
    x = 857.40

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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.