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Finding the Fourth Proportional to 973.76, 1,452.51 and 880.34

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Solution

The fourth proportional to 973.76, 1,452.51 and 880.34 is: 1,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.76 : 1,452.51 = 880.34 : x
  2. Step 2: Convert to fraction form
    973.76/1,452.51 = 880.34/x
  3. Step 3: Cross multiply
    973.76x = 1,452.51 × 880.34
  4. Step 4: Simplify right side
    973.76x = 1,278,695.39
  5. Step 5: Solve for x
    x = 1,278,695.39/973.76
  6. Step 6: Final answer
    x = 1,313.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.