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Finding the Fourth Proportional to 970.57, 1,448.39 and 866.77

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Solution

The fourth proportional to 970.57, 1,448.39 and 866.77 is: 1,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.57 : 1,448.39 = 866.77 : x
  2. Step 2: Convert to fraction form
    970.57/1,448.39 = 866.77/x
  3. Step 3: Cross multiply
    970.57x = 1,448.39 × 866.77
  4. Step 4: Simplify right side
    970.57x = 1,255,419.55
  5. Step 5: Solve for x
    x = 1,255,419.55/970.57
  6. Step 6: Final answer
    x = 1,293.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.