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Finding the Fourth Proportional to 1,071.50, 1,607.36 and 340.90

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Solution

The fourth proportional to 1,071.50, 1,607.36 and 340.90 is: 511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.50 : 1,607.36 = 340.90 : x
  2. Step 2: Convert to fraction form
    1,071.50/1,607.36 = 340.90/x
  3. Step 3: Cross multiply
    1,071.50x = 1,607.36 × 340.90
  4. Step 4: Simplify right side
    1,071.50x = 547,949.02
  5. Step 5: Solve for x
    x = 547,949.02/1,071.50
  6. Step 6: Final answer
    x = 511.39

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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.