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Finding the Fourth Proportional to 1,056.82, 1,458.66 and 614.79

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Solution

The fourth proportional to 1,056.82, 1,458.66 and 614.79 is: 848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.82 : 1,458.66 = 614.79 : x
  2. Step 2: Convert to fraction form
    1,056.82/1,458.66 = 614.79/x
  3. Step 3: Cross multiply
    1,056.82x = 1,458.66 × 614.79
  4. Step 4: Simplify right side
    1,056.82x = 896,769.58
  5. Step 5: Solve for x
    x = 896,769.58/1,056.82
  6. Step 6: Final answer
    x = 848.55

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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.