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Finding the Fourth Proportional to 700.46, 1,053.57 and 614.06

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Solution

The fourth proportional to 700.46, 1,053.57 and 614.06 is: 923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.46 : 1,053.57 = 614.06 : x
  2. Step 2: Convert to fraction form
    700.46/1,053.57 = 614.06/x
  3. Step 3: Cross multiply
    700.46x = 1,053.57 × 614.06
  4. Step 4: Simplify right side
    700.46x = 646,955.19
  5. Step 5: Solve for x
    x = 646,955.19/700.46
  6. Step 6: Final answer
    x = 923.61

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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.