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Finding the Fourth Proportional to 662.30, 913.65 and 565.10

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Solution

The fourth proportional to 662.30, 913.65 and 565.10 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 913.65 = 565.10 : x
  2. Step 2: Convert to fraction form
    662.30/913.65 = 565.10/x
  3. Step 3: Cross multiply
    662.30x = 913.65 × 565.10
  4. Step 4: Simplify right side
    662.30x = 516,303.62
  5. Step 5: Solve for x
    x = 516,303.62/662.30
  6. Step 6: Final answer
    x = 779.56

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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.