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Finding the Fourth Proportional to 927.87, 1,280.64 and 706.42

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Solution

The fourth proportional to 927.87, 1,280.64 and 706.42 is: 975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.87 : 1,280.64 = 706.42 : x
  2. Step 2: Convert to fraction form
    927.87/1,280.64 = 706.42/x
  3. Step 3: Cross multiply
    927.87x = 1,280.64 × 706.42
  4. Step 4: Simplify right side
    927.87x = 904,669.71
  5. Step 5: Solve for x
    x = 904,669.71/927.87
  6. Step 6: Final answer
    x = 975.00

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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.