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Finding the Fourth Proportional to 884.35, 1,320.04 and 780.57

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Solution

The fourth proportional to 884.35, 1,320.04 and 780.57 is: 1,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.35 : 1,320.04 = 780.57 : x
  2. Step 2: Convert to fraction form
    884.35/1,320.04 = 780.57/x
  3. Step 3: Cross multiply
    884.35x = 1,320.04 × 780.57
  4. Step 4: Simplify right side
    884.35x = 1,030,373.12
  5. Step 5: Solve for x
    x = 1,030,373.12/884.35
  6. Step 6: Final answer
    x = 1,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.