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Finding the Fourth Proportional to 700.20, 965.02 and 560.07

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Solution

The fourth proportional to 700.20, 965.02 and 560.07 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.20 : 965.02 = 560.07 : x
  2. Step 2: Convert to fraction form
    700.20/965.02 = 560.07/x
  3. Step 3: Cross multiply
    700.20x = 965.02 × 560.07
  4. Step 4: Simplify right side
    700.20x = 540,478.75
  5. Step 5: Solve for x
    x = 540,478.75/700.20
  6. Step 6: Final answer
    x = 771.89

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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.