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Finding the Fourth Proportional to 864.24, 1,191.74 and 569.13

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Solution

The fourth proportional to 864.24, 1,191.74 and 569.13 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,191.74 = 569.13 : x
  2. Step 2: Convert to fraction form
    864.24/1,191.74 = 569.13/x
  3. Step 3: Cross multiply
    864.24x = 1,191.74 × 569.13
  4. Step 4: Simplify right side
    864.24x = 678,254.99
  5. Step 5: Solve for x
    x = 678,254.99/864.24
  6. Step 6: Final answer
    x = 784.80

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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.