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Finding the Fourth Proportional to 762.60, 1,051.16 and 552.80

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Solution

The fourth proportional to 762.60, 1,051.16 and 552.80 is: 761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,051.16 = 552.80 : x
  2. Step 2: Convert to fraction form
    762.60/1,051.16 = 552.80/x
  3. Step 3: Cross multiply
    762.60x = 1,051.16 × 552.80
  4. Step 4: Simplify right side
    762.60x = 581,081.25
  5. Step 5: Solve for x
    x = 581,081.25/762.60
  6. Step 6: Final answer
    x = 761.97

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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.