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Finding the Fourth Proportional to 730.91, 1,100.65 and 526.89

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Solution

The fourth proportional to 730.91, 1,100.65 and 526.89 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.91 : 1,100.65 = 526.89 : x
  2. Step 2: Convert to fraction form
    730.91/1,100.65 = 526.89/x
  3. Step 3: Cross multiply
    730.91x = 1,100.65 × 526.89
  4. Step 4: Simplify right side
    730.91x = 579,921.48
  5. Step 5: Solve for x
    x = 579,921.48/730.91
  6. Step 6: Final answer
    x = 793.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.