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Finding the Fourth Proportional to 864.40, 1,191.95 and 569.16

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Solution

The fourth proportional to 864.40, 1,191.95 and 569.16 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.40 : 1,191.95 = 569.16 : x
  2. Step 2: Convert to fraction form
    864.40/1,191.95 = 569.16/x
  3. Step 3: Cross multiply
    864.40x = 1,191.95 × 569.16
  4. Step 4: Simplify right side
    864.40x = 678,401.46
  5. Step 5: Solve for x
    x = 678,401.46/864.40
  6. Step 6: Final answer
    x = 784.82

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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.