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Finding the Fourth Proportional to 973.53, 1,344.09 and 679.50

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Solution

The fourth proportional to 973.53, 1,344.09 and 679.50 is: 938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,344.09 = 679.50 : x
  2. Step 2: Convert to fraction form
    973.53/1,344.09 = 679.50/x
  3. Step 3: Cross multiply
    973.53x = 1,344.09 × 679.50
  4. Step 4: Simplify right side
    973.53x = 913,309.16
  5. Step 5: Solve for x
    x = 913,309.16/973.53
  6. Step 6: Final answer
    x = 938.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.