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Finding the Fourth Proportional to 754.35, 1,128.47 and 652.77

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Solution

The fourth proportional to 754.35, 1,128.47 and 652.77 is: 976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.35 : 1,128.47 = 652.77 : x
  2. Step 2: Convert to fraction form
    754.35/1,128.47 = 652.77/x
  3. Step 3: Cross multiply
    754.35x = 1,128.47 × 652.77
  4. Step 4: Simplify right side
    754.35x = 736,628.10
  5. Step 5: Solve for x
    x = 736,628.10/754.35
  6. Step 6: Final answer
    x = 976.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.