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Finding the Fourth Proportional to 776.50, 1,071.63 and 544.18

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Solution

The fourth proportional to 776.50, 1,071.63 and 544.18 is: 751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,071.63 = 544.18 : x
  2. Step 2: Convert to fraction form
    776.50/1,071.63 = 544.18/x
  3. Step 3: Cross multiply
    776.50x = 1,071.63 × 544.18
  4. Step 4: Simplify right side
    776.50x = 583,159.61
  5. Step 5: Solve for x
    x = 583,159.61/776.50
  6. Step 6: Final answer
    x = 751.01

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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.