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Finding the Fourth Proportional to 700.13, 965.76 and 586.28

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Solution

The fourth proportional to 700.13, 965.76 and 586.28 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 965.76 = 586.28 : x
  2. Step 2: Convert to fraction form
    700.13/965.76 = 586.28/x
  3. Step 3: Cross multiply
    700.13x = 965.76 × 586.28
  4. Step 4: Simplify right side
    700.13x = 566,200.94
  5. Step 5: Solve for x
    x = 566,200.94/700.13
  6. Step 6: Final answer
    x = 808.71

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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.