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Finding the Fourth Proportional to 730.62, 1,097.55 and 525.69

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Solution

The fourth proportional to 730.62, 1,097.55 and 525.69 is: 789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.62 : 1,097.55 = 525.69 : x
  2. Step 2: Convert to fraction form
    730.62/1,097.55 = 525.69/x
  3. Step 3: Cross multiply
    730.62x = 1,097.55 × 525.69
  4. Step 4: Simplify right side
    730.62x = 576,971.06
  5. Step 5: Solve for x
    x = 576,971.06/730.62
  6. Step 6: Final answer
    x = 789.70

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1.5x scale

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.