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Finding the Fourth Proportional to 973.22, 1,461.65 and 769.10

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Solution

The fourth proportional to 973.22, 1,461.65 and 769.10 is: 1,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,461.65 = 769.10 : x
  2. Step 2: Convert to fraction form
    973.22/1,461.65 = 769.10/x
  3. Step 3: Cross multiply
    973.22x = 1,461.65 × 769.10
  4. Step 4: Simplify right side
    973.22x = 1,124,143.86
  5. Step 5: Solve for x
    x = 1,124,143.86/973.22
  6. Step 6: Final answer
    x = 1,155.08

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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.