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Finding the Fourth Proportional to 877.52, 1,314.36 and 705.36

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Solution

The fourth proportional to 877.52, 1,314.36 and 705.36 is: 1,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,314.36 = 705.36 : x
  2. Step 2: Convert to fraction form
    877.52/1,314.36 = 705.36/x
  3. Step 3: Cross multiply
    877.52x = 1,314.36 × 705.36
  4. Step 4: Simplify right side
    877.52x = 927,096.97
  5. Step 5: Solve for x
    x = 927,096.97/877.52
  6. Step 6: Final answer
    x = 1,056.50

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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.