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Finding the Fourth Proportional to 1,046.16, 1,564.74 and 871.20

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Solution

The fourth proportional to 1,046.16, 1,564.74 and 871.20 is: 1,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.16 : 1,564.74 = 871.20 : x
  2. Step 2: Convert to fraction form
    1,046.16/1,564.74 = 871.20/x
  3. Step 3: Cross multiply
    1,046.16x = 1,564.74 × 871.20
  4. Step 4: Simplify right side
    1,046.16x = 1,363,201.49
  5. Step 5: Solve for x
    x = 1,363,201.49/1,046.16
  6. Step 6: Final answer
    x = 1,303.05

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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.