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Finding the Fourth Proportional to 703.65, 971.28 and 483.33

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Solution

The fourth proportional to 703.65, 971.28 and 483.33 is: 667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.65 : 971.28 = 483.33 : x
  2. Step 2: Convert to fraction form
    703.65/971.28 = 483.33/x
  3. Step 3: Cross multiply
    703.65x = 971.28 × 483.33
  4. Step 4: Simplify right side
    703.65x = 469,448.76
  5. Step 5: Solve for x
    x = 469,448.76/703.65
  6. Step 6: Final answer
    x = 667.16

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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.