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Finding the Fourth Proportional to 973.19, 1,452.68 and 844.10

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Solution

The fourth proportional to 973.19, 1,452.68 and 844.10 is: 1,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.19 : 1,452.68 = 844.10 : x
  2. Step 2: Convert to fraction form
    973.19/1,452.68 = 844.10/x
  3. Step 3: Cross multiply
    973.19x = 1,452.68 × 844.10
  4. Step 4: Simplify right side
    973.19x = 1,226,207.19
  5. Step 5: Solve for x
    x = 1,226,207.19/973.19
  6. Step 6: Final answer
    x = 1,259.99

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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.