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Finding the Fourth Proportional to 901.18, 1,353.81 and 778.16

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Solution

The fourth proportional to 901.18, 1,353.81 and 778.16 is: 1,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.18 : 1,353.81 = 778.16 : x
  2. Step 2: Convert to fraction form
    901.18/1,353.81 = 778.16/x
  3. Step 3: Cross multiply
    901.18x = 1,353.81 × 778.16
  4. Step 4: Simplify right side
    901.18x = 1,053,480.79
  5. Step 5: Solve for x
    x = 1,053,480.79/901.18
  6. Step 6: Final answer
    x = 1,169.00

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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.