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Finding the Fourth Proportional to 970.29, 1,339.02 and 572.22

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Solution

The fourth proportional to 970.29, 1,339.02 and 572.22 is: 789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.29 : 1,339.02 = 572.22 : x
  2. Step 2: Convert to fraction form
    970.29/1,339.02 = 572.22/x
  3. Step 3: Cross multiply
    970.29x = 1,339.02 × 572.22
  4. Step 4: Simplify right side
    970.29x = 766,214.02
  5. Step 5: Solve for x
    x = 766,214.02/970.29
  6. Step 6: Final answer
    x = 789.68

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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.