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Finding the Fourth Proportional to 973.57, 1,452.86 and 869.77

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Solution

The fourth proportional to 973.57, 1,452.86 and 869.77 is: 1,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.57 : 1,452.86 = 869.77 : x
  2. Step 2: Convert to fraction form
    973.57/1,452.86 = 869.77/x
  3. Step 3: Cross multiply
    973.57x = 1,452.86 × 869.77
  4. Step 4: Simplify right side
    973.57x = 1,263,654.04
  5. Step 5: Solve for x
    x = 1,263,654.04/973.57
  6. Step 6: Final answer
    x = 1,297.96

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1.5x scale

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.