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Finding the Fourth Proportional to 697.90, 1,047.82 and 560.51

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Solution

The fourth proportional to 697.90, 1,047.82 and 560.51 is: 841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.90 : 1,047.82 = 560.51 : x
  2. Step 2: Convert to fraction form
    697.90/1,047.82 = 560.51/x
  3. Step 3: Cross multiply
    697.90x = 1,047.82 × 560.51
  4. Step 4: Simplify right side
    697.90x = 587,313.59
  5. Step 5: Solve for x
    x = 587,313.59/697.90
  6. Step 6: Final answer
    x = 841.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.