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Finding the Fourth Proportional to 973.68, 1,453.02 and 869.87

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Solution

The fourth proportional to 973.68, 1,453.02 and 869.87 is: 1,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,453.02 = 869.87 : x
  2. Step 2: Convert to fraction form
    973.68/1,453.02 = 869.87/x
  3. Step 3: Cross multiply
    973.68x = 1,453.02 × 869.87
  4. Step 4: Simplify right side
    973.68x = 1,263,938.51
  5. Step 5: Solve for x
    x = 1,263,938.51/973.68
  6. Step 6: Final answer
    x = 1,298.11

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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.