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Finding the Fourth Proportional to 901.23, 1,242.87 and 569.07

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Solution

The fourth proportional to 901.23, 1,242.87 and 569.07 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.23 : 1,242.87 = 569.07 : x
  2. Step 2: Convert to fraction form
    901.23/1,242.87 = 569.07/x
  3. Step 3: Cross multiply
    901.23x = 1,242.87 × 569.07
  4. Step 4: Simplify right side
    901.23x = 707,280.03
  5. Step 5: Solve for x
    x = 707,280.03/901.23
  6. Step 6: Final answer
    x = 784.79

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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.