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Finding the Fourth Proportional to 1,530.65, 2,296.62 and 800.71

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Solution

The fourth proportional to 1,530.65, 2,296.62 and 800.71 is: 1,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.65 : 2,296.62 = 800.71 : x
  2. Step 2: Convert to fraction form
    1,530.65/2,296.62 = 800.71/x
  3. Step 3: Cross multiply
    1,530.65x = 2,296.62 × 800.71
  4. Step 4: Simplify right side
    1,530.65x = 1,838,920.86
  5. Step 5: Solve for x
    x = 1,838,920.86/1,530.65
  6. Step 6: Final answer
    x = 1,201.40

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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.