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Finding the Fourth Proportional to 1,071.62, 1,607.46 and 341.13

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Solution

The fourth proportional to 1,071.62, 1,607.46 and 341.13 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.62 : 1,607.46 = 341.13 : x
  2. Step 2: Convert to fraction form
    1,071.62/1,607.46 = 341.13/x
  3. Step 3: Cross multiply
    1,071.62x = 1,607.46 × 341.13
  4. Step 4: Simplify right side
    1,071.62x = 548,352.83
  5. Step 5: Solve for x
    x = 548,352.83/1,071.62
  6. Step 6: Final answer
    x = 511.70

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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.