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Finding the Fourth Proportional to 970.55, 1,453.07 and 709.73

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Solution

The fourth proportional to 970.55, 1,453.07 and 709.73 is: 1,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.55 : 1,453.07 = 709.73 : x
  2. Step 2: Convert to fraction form
    970.55/1,453.07 = 709.73/x
  3. Step 3: Cross multiply
    970.55x = 1,453.07 × 709.73
  4. Step 4: Simplify right side
    970.55x = 1,031,281.88
  5. Step 5: Solve for x
    x = 1,031,281.88/970.55
  6. Step 6: Final answer
    x = 1,062.58

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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.