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Finding the Fourth Proportional to 970.42, 1,339.29 and 577.45

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Solution

The fourth proportional to 970.42, 1,339.29 and 577.45 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.42 : 1,339.29 = 577.45 : x
  2. Step 2: Convert to fraction form
    970.42/1,339.29 = 577.45/x
  3. Step 3: Cross multiply
    970.42x = 1,339.29 × 577.45
  4. Step 4: Simplify right side
    970.42x = 773,368.78
  5. Step 5: Solve for x
    x = 773,368.78/970.42
  6. Step 6: Final answer
    x = 796.94

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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.