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Finding the Fourth Proportional to 964.98, 1,439.37 and 877.50

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Solution

The fourth proportional to 964.98, 1,439.37 and 877.50 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.98 : 1,439.37 = 877.50 : x
  2. Step 2: Convert to fraction form
    964.98/1,439.37 = 877.50/x
  3. Step 3: Cross multiply
    964.98x = 1,439.37 × 877.50
  4. Step 4: Simplify right side
    964.98x = 1,263,047.18
  5. Step 5: Solve for x
    x = 1,263,047.18/964.98
  6. Step 6: Final answer
    x = 1,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.