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Finding the Fourth Proportional to 914.86, 1,261.47 and 565.21

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Solution

The fourth proportional to 914.86, 1,261.47 and 565.21 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.86 : 1,261.47 = 565.21 : x
  2. Step 2: Convert to fraction form
    914.86/1,261.47 = 565.21/x
  3. Step 3: Cross multiply
    914.86x = 1,261.47 × 565.21
  4. Step 4: Simplify right side
    914.86x = 712,995.46
  5. Step 5: Solve for x
    x = 712,995.46/914.86
  6. Step 6: Final answer
    x = 779.35

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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.