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Finding the Fourth Proportional to 749.88, 1,033.65 and 528.48

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Solution

The fourth proportional to 749.88, 1,033.65 and 528.48 is: 728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,033.65 = 528.48 : x
  2. Step 2: Convert to fraction form
    749.88/1,033.65 = 528.48/x
  3. Step 3: Cross multiply
    749.88x = 1,033.65 × 528.48
  4. Step 4: Simplify right side
    749.88x = 546,263.35
  5. Step 5: Solve for x
    x = 546,263.35/749.88
  6. Step 6: Final answer
    x = 728.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.