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Finding the Fourth Proportional to 864.24, 1,189.72 and 781.08

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Solution

The fourth proportional to 864.24, 1,189.72 and 781.08 is: 1,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,189.72 = 781.08 : x
  2. Step 2: Convert to fraction form
    864.24/1,189.72 = 781.08/x
  3. Step 3: Cross multiply
    864.24x = 1,189.72 × 781.08
  4. Step 4: Simplify right side
    864.24x = 929,266.50
  5. Step 5: Solve for x
    x = 929,266.50/864.24
  6. Step 6: Final answer
    x = 1,075.24

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1.5x scale

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.