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Finding the Fourth Proportional to 965.45, 1,332.48 and 572.74

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Solution

The fourth proportional to 965.45, 1,332.48 and 572.74 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.45 : 1,332.48 = 572.74 : x
  2. Step 2: Convert to fraction form
    965.45/1,332.48 = 572.74/x
  3. Step 3: Cross multiply
    965.45x = 1,332.48 × 572.74
  4. Step 4: Simplify right side
    965.45x = 763,163.41
  5. Step 5: Solve for x
    x = 763,163.41/965.45
  6. Step 6: Final answer
    x = 790.47

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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.