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Finding the Fourth Proportional to 780.64, 1,077.27 and 466.11

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Solution

The fourth proportional to 780.64, 1,077.27 and 466.11 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.64 : 1,077.27 = 466.11 : x
  2. Step 2: Convert to fraction form
    780.64/1,077.27 = 466.11/x
  3. Step 3: Cross multiply
    780.64x = 1,077.27 × 466.11
  4. Step 4: Simplify right side
    780.64x = 502,120.93
  5. Step 5: Solve for x
    x = 502,120.93/780.64
  6. Step 6: Final answer
    x = 643.22

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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.