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Finding the Fourth Proportional to 970.44, 1,339.74 and 577.56

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Solution

The fourth proportional to 970.44, 1,339.74 and 577.56 is: 797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.44 : 1,339.74 = 577.56 : x
  2. Step 2: Convert to fraction form
    970.44/1,339.74 = 577.56/x
  3. Step 3: Cross multiply
    970.44x = 1,339.74 × 577.56
  4. Step 4: Simplify right side
    970.44x = 773,780.23
  5. Step 5: Solve for x
    x = 773,780.23/970.44
  6. Step 6: Final answer
    x = 797.35

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1.5x scale

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.