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Finding the Fourth Proportional to 900.72, 1,242.54 and 568.89

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Solution

The fourth proportional to 900.72, 1,242.54 and 568.89 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.72 : 1,242.54 = 568.89 : x
  2. Step 2: Convert to fraction form
    900.72/1,242.54 = 568.89/x
  3. Step 3: Cross multiply
    900.72x = 1,242.54 × 568.89
  4. Step 4: Simplify right side
    900.72x = 706,868.58
  5. Step 5: Solve for x
    x = 706,868.58/900.72
  6. Step 6: Final answer
    x = 784.78

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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.