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Finding the Fourth Proportional to 970.59, 1,446.55 and 969.06

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Solution

The fourth proportional to 970.59, 1,446.55 and 969.06 is: 1,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.59 : 1,446.55 = 969.06 : x
  2. Step 2: Convert to fraction form
    970.59/1,446.55 = 969.06/x
  3. Step 3: Cross multiply
    970.59x = 1,446.55 × 969.06
  4. Step 4: Simplify right side
    970.59x = 1,401,793.74
  5. Step 5: Solve for x
    x = 1,401,793.74/970.59
  6. Step 6: Final answer
    x = 1,444.27

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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.