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Finding the Fourth Proportional to 1,079.81, 1,490.14 and 614.06

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Solution

The fourth proportional to 1,079.81, 1,490.14 and 614.06 is: 847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.81 : 1,490.14 = 614.06 : x
  2. Step 2: Convert to fraction form
    1,079.81/1,490.14 = 614.06/x
  3. Step 3: Cross multiply
    1,079.81x = 1,490.14 × 614.06
  4. Step 4: Simplify right side
    1,079.81x = 915,035.37
  5. Step 5: Solve for x
    x = 915,035.37/1,079.81
  6. Step 6: Final answer
    x = 847.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.