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Finding the Fourth Proportional to 970.25, 1,448.58 and 852.70

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Solution

The fourth proportional to 970.25, 1,448.58 and 852.70 is: 1,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,448.58 = 852.70 : x
  2. Step 2: Convert to fraction form
    970.25/1,448.58 = 852.70/x
  3. Step 3: Cross multiply
    970.25x = 1,448.58 × 852.70
  4. Step 4: Simplify right side
    970.25x = 1,235,210.53
  5. Step 5: Solve for x
    x = 1,235,210.53/970.25
  6. Step 6: Final answer
    x = 1,273.08

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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.