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Finding the Fourth Proportional to 974.99, 1,459.78 and 803.72

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Solution

The fourth proportional to 974.99, 1,459.78 and 803.72 is: 1,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.99 : 1,459.78 = 803.72 : x
  2. Step 2: Convert to fraction form
    974.99/1,459.78 = 803.72/x
  3. Step 3: Cross multiply
    974.99x = 1,459.78 × 803.72
  4. Step 4: Simplify right side
    974.99x = 1,173,256.02
  5. Step 5: Solve for x
    x = 1,173,256.02/974.99
  6. Step 6: Final answer
    x = 1,203.35

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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.