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Finding the Fourth Proportional to 914.58, 1,261.86 and 565.20

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Solution

The fourth proportional to 914.58, 1,261.86 and 565.20 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,261.86 = 565.20 : x
  2. Step 2: Convert to fraction form
    914.58/1,261.86 = 565.20/x
  3. Step 3: Cross multiply
    914.58x = 1,261.86 × 565.20
  4. Step 4: Simplify right side
    914.58x = 713,203.27
  5. Step 5: Solve for x
    x = 713,203.27/914.58
  6. Step 6: Final answer
    x = 779.82

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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.