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Finding the Fourth Proportional to 1,059.12, 1,587.56 and 365.60

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Solution

The fourth proportional to 1,059.12, 1,587.56 and 365.60 is: 548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.12 : 1,587.56 = 365.60 : x
  2. Step 2: Convert to fraction form
    1,059.12/1,587.56 = 365.60/x
  3. Step 3: Cross multiply
    1,059.12x = 1,587.56 × 365.60
  4. Step 4: Simplify right side
    1,059.12x = 580,402.17
  5. Step 5: Solve for x
    x = 580,402.17/1,059.12
  6. Step 6: Final answer
    x = 548.00

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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.