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Finding the Fourth Proportional to 776.55, 1,071.27 and 528.24

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Solution

The fourth proportional to 776.55, 1,071.27 and 528.24 is: 728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.55 : 1,071.27 = 528.24 : x
  2. Step 2: Convert to fraction form
    776.55/1,071.27 = 528.24/x
  3. Step 3: Cross multiply
    776.55x = 1,071.27 × 528.24
  4. Step 4: Simplify right side
    776.55x = 565,887.66
  5. Step 5: Solve for x
    x = 565,887.66/776.55
  6. Step 6: Final answer
    x = 728.72

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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.