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Finding the Fourth Proportional to 780.90, 1,077.71 and 444.91

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Solution

The fourth proportional to 780.90, 1,077.71 and 444.91 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.90 : 1,077.71 = 444.91 : x
  2. Step 2: Convert to fraction form
    780.90/1,077.71 = 444.91/x
  3. Step 3: Cross multiply
    780.90x = 1,077.71 × 444.91
  4. Step 4: Simplify right side
    780.90x = 479,483.96
  5. Step 5: Solve for x
    x = 479,483.96/780.90
  6. Step 6: Final answer
    x = 614.01

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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.