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Finding the Fourth Proportional to 969.40, 1,453.08 and 507.70

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Solution

The fourth proportional to 969.40, 1,453.08 and 507.70 is: 761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.40 : 1,453.08 = 507.70 : x
  2. Step 2: Convert to fraction form
    969.40/1,453.08 = 507.70/x
  3. Step 3: Cross multiply
    969.40x = 1,453.08 × 507.70
  4. Step 4: Simplify right side
    969.40x = 737,728.72
  5. Step 5: Solve for x
    x = 737,728.72/969.40
  6. Step 6: Final answer
    x = 761.02

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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.