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Finding the Fourth Proportional to 970.74, 1,339.05 and 577.50

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Solution

The fourth proportional to 970.74, 1,339.05 and 577.50 is: 796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.74 : 1,339.05 = 577.50 : x
  2. Step 2: Convert to fraction form
    970.74/1,339.05 = 577.50/x
  3. Step 3: Cross multiply
    970.74x = 1,339.05 × 577.50
  4. Step 4: Simplify right side
    970.74x = 773,301.38
  5. Step 5: Solve for x
    x = 773,301.38/970.74
  6. Step 6: Final answer
    x = 796.61

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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.