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Finding the Fourth Proportional to 918.08, 1,374.70 and 756.50

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Solution

The fourth proportional to 918.08, 1,374.70 and 756.50 is: 1,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,374.70 = 756.50 : x
  2. Step 2: Convert to fraction form
    918.08/1,374.70 = 756.50/x
  3. Step 3: Cross multiply
    918.08x = 1,374.70 × 756.50
  4. Step 4: Simplify right side
    918.08x = 1,039,960.55
  5. Step 5: Solve for x
    x = 1,039,960.55/918.08
  6. Step 6: Final answer
    x = 1,132.76

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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.