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Finding the Fourth Proportional to 795.16, 1,189.14 and 649.72

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Solution

The fourth proportional to 795.16, 1,189.14 and 649.72 is: 971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.16 : 1,189.14 = 649.72 : x
  2. Step 2: Convert to fraction form
    795.16/1,189.14 = 649.72/x
  3. Step 3: Cross multiply
    795.16x = 1,189.14 × 649.72
  4. Step 4: Simplify right side
    795.16x = 772,608.04
  5. Step 5: Solve for x
    x = 772,608.04/795.16
  6. Step 6: Final answer
    x = 971.64

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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.