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Finding the Fourth Proportional to 970.11, 1,337.13 and 720.99

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Solution

The fourth proportional to 970.11, 1,337.13 and 720.99 is: 993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.11 : 1,337.13 = 720.99 : x
  2. Step 2: Convert to fraction form
    970.11/1,337.13 = 720.99/x
  3. Step 3: Cross multiply
    970.11x = 1,337.13 × 720.99
  4. Step 4: Simplify right side
    970.11x = 964,057.36
  5. Step 5: Solve for x
    x = 964,057.36/970.11
  6. Step 6: Final answer
    x = 993.76

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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.