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Finding the Fourth Proportional to 914.10, 1,261.04 and 809.30

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Solution

The fourth proportional to 914.10, 1,261.04 and 809.30 is: 1,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,261.04 = 809.30 : x
  2. Step 2: Convert to fraction form
    914.10/1,261.04 = 809.30/x
  3. Step 3: Cross multiply
    914.10x = 1,261.04 × 809.30
  4. Step 4: Simplify right side
    914.10x = 1,020,549.32
  5. Step 5: Solve for x
    x = 1,020,549.32/914.10
  6. Step 6: Final answer
    x = 1,116.45

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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.