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Finding the Fourth Proportional to 975.70, 1,469.71 and 889.58

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Solution

The fourth proportional to 975.70, 1,469.71 and 889.58 is: 1,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.70 : 1,469.71 = 889.58 : x
  2. Step 2: Convert to fraction form
    975.70/1,469.71 = 889.58/x
  3. Step 3: Cross multiply
    975.70x = 1,469.71 × 889.58
  4. Step 4: Simplify right side
    975.70x = 1,307,424.62
  5. Step 5: Solve for x
    x = 1,307,424.62/975.70
  6. Step 6: Final answer
    x = 1,339.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.