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Finding the Fourth Proportional to 970.25, 1,455.84 and 483.37

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Solution

The fourth proportional to 970.25, 1,455.84 and 483.37 is: 725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,455.84 = 483.37 : x
  2. Step 2: Convert to fraction form
    970.25/1,455.84 = 483.37/x
  3. Step 3: Cross multiply
    970.25x = 1,455.84 × 483.37
  4. Step 4: Simplify right side
    970.25x = 703,705.74
  5. Step 5: Solve for x
    x = 703,705.74/970.25
  6. Step 6: Final answer
    x = 725.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.