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Finding the Fourth Proportional to 1,071.19, 1,606.71 and 340.71

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Solution

The fourth proportional to 1,071.19, 1,606.71 and 340.71 is: 511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.19 : 1,606.71 = 340.71 : x
  2. Step 2: Convert to fraction form
    1,071.19/1,606.71 = 340.71/x
  3. Step 3: Cross multiply
    1,071.19x = 1,606.71 × 340.71
  4. Step 4: Simplify right side
    1,071.19x = 547,417.42
  5. Step 5: Solve for x
    x = 547,417.42/1,071.19
  6. Step 6: Final answer
    x = 511.04

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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.