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Finding the Fourth Proportional to 650.79, 970.67 and 569.07

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Solution

The fourth proportional to 650.79, 970.67 and 569.07 is: 848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.79 : 970.67 = 569.07 : x
  2. Step 2: Convert to fraction form
    650.79/970.67 = 569.07/x
  3. Step 3: Cross multiply
    650.79x = 970.67 × 569.07
  4. Step 4: Simplify right side
    650.79x = 552,380.60
  5. Step 5: Solve for x
    x = 552,380.60/650.79
  6. Step 6: Final answer
    x = 848.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.