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Finding the Fourth Proportional to 730.06, 1,006.34 and 572.30

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Solution

The fourth proportional to 730.06, 1,006.34 and 572.30 is: 788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.06 : 1,006.34 = 572.30 : x
  2. Step 2: Convert to fraction form
    730.06/1,006.34 = 572.30/x
  3. Step 3: Cross multiply
    730.06x = 1,006.34 × 572.30
  4. Step 4: Simplify right side
    730.06x = 575,928.38
  5. Step 5: Solve for x
    x = 575,928.38/730.06
  6. Step 6: Final answer
    x = 788.88

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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.