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Finding the Fourth Proportional to 744.87, 1,117.49 and 312.15

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Solution

The fourth proportional to 744.87, 1,117.49 and 312.15 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.87 : 1,117.49 = 312.15 : x
  2. Step 2: Convert to fraction form
    744.87/1,117.49 = 312.15/x
  3. Step 3: Cross multiply
    744.87x = 1,117.49 × 312.15
  4. Step 4: Simplify right side
    744.87x = 348,822.94
  5. Step 5: Solve for x
    x = 348,822.94/744.87
  6. Step 6: Final answer
    x = 468.30

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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.