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Finding the Fourth Proportional to 1,071.30, 1,607.07 and 340.62

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Solution

The fourth proportional to 1,071.30, 1,607.07 and 340.62 is: 510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.30 : 1,607.07 = 340.62 : x
  2. Step 2: Convert to fraction form
    1,071.30/1,607.07 = 340.62/x
  3. Step 3: Cross multiply
    1,071.30x = 1,607.07 × 340.62
  4. Step 4: Simplify right side
    1,071.30x = 547,400.18
  5. Step 5: Solve for x
    x = 547,400.18/1,071.30
  6. Step 6: Final answer
    x = 510.97

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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.