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Finding the Fourth Proportional to 780.52, 1,077.01 and 448.96

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Solution

The fourth proportional to 780.52, 1,077.01 and 448.96 is: 619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,077.01 = 448.96 : x
  2. Step 2: Convert to fraction form
    780.52/1,077.01 = 448.96/x
  3. Step 3: Cross multiply
    780.52x = 1,077.01 × 448.96
  4. Step 4: Simplify right side
    780.52x = 483,534.41
  5. Step 5: Solve for x
    x = 483,534.41/780.52
  6. Step 6: Final answer
    x = 619.50

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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.