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Finding the Fourth Proportional to 1,056.66, 1,591.67 and 976.47

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Solution

The fourth proportional to 1,056.66, 1,591.67 and 976.47 is: 1,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.66 : 1,591.67 = 976.47 : x
  2. Step 2: Convert to fraction form
    1,056.66/1,591.67 = 976.47/x
  3. Step 3: Cross multiply
    1,056.66x = 1,591.67 × 976.47
  4. Step 4: Simplify right side
    1,056.66x = 1,554,213.12
  5. Step 5: Solve for x
    x = 1,554,213.12/1,056.66
  6. Step 6: Final answer
    x = 1,470.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.