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Finding the Fourth Proportional to 765.50, 1,055.30 and 544.98

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Solution

The fourth proportional to 765.50, 1,055.30 and 544.98 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,055.30 = 544.98 : x
  2. Step 2: Convert to fraction form
    765.50/1,055.30 = 544.98/x
  3. Step 3: Cross multiply
    765.50x = 1,055.30 × 544.98
  4. Step 4: Simplify right side
    765.50x = 575,117.39
  5. Step 5: Solve for x
    x = 575,117.39/765.50
  6. Step 6: Final answer
    x = 751.30

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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.