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Finding the Fourth Proportional to 1,065.20, 1,594.60 and 937.20

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Solution

The fourth proportional to 1,065.20, 1,594.60 and 937.20 is: 1,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,594.60 = 937.20 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,594.60 = 937.20/x
  3. Step 3: Cross multiply
    1,065.20x = 1,594.60 × 937.20
  4. Step 4: Simplify right side
    1,065.20x = 1,494,459.12
  5. Step 5: Solve for x
    x = 1,494,459.12/1,065.20
  6. Step 6: Final answer
    x = 1,402.98

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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.