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Finding the Fourth Proportional to 962.04, 1,444.50 and 780.60

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Solution

The fourth proportional to 962.04, 1,444.50 and 780.60 is: 1,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.04 : 1,444.50 = 780.60 : x
  2. Step 2: Convert to fraction form
    962.04/1,444.50 = 780.60/x
  3. Step 3: Cross multiply
    962.04x = 1,444.50 × 780.60
  4. Step 4: Simplify right side
    962.04x = 1,127,576.70
  5. Step 5: Solve for x
    x = 1,127,576.70/962.04
  6. Step 6: Final answer
    x = 1,172.07

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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.