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Finding the Fourth Proportional to 931.88, 1,285.36 and 780.04

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Solution

The fourth proportional to 931.88, 1,285.36 and 780.04 is: 1,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.88 : 1,285.36 = 780.04 : x
  2. Step 2: Convert to fraction form
    931.88/1,285.36 = 780.04/x
  3. Step 3: Cross multiply
    931.88x = 1,285.36 × 780.04
  4. Step 4: Simplify right side
    931.88x = 1,002,632.21
  5. Step 5: Solve for x
    x = 1,002,632.21/931.88
  6. Step 6: Final answer
    x = 1,075.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.