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Finding the Fourth Proportional to 970.78, 1,453.62 and 774.88

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Solution

The fourth proportional to 970.78, 1,453.62 and 774.88 is: 1,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.78 : 1,453.62 = 774.88 : x
  2. Step 2: Convert to fraction form
    970.78/1,453.62 = 774.88/x
  3. Step 3: Cross multiply
    970.78x = 1,453.62 × 774.88
  4. Step 4: Simplify right side
    970.78x = 1,126,381.07
  5. Step 5: Solve for x
    x = 1,126,381.07/970.78
  6. Step 6: Final answer
    x = 1,160.28

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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.