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Finding the Fourth Proportional to 885.14, 1,221.71 and 586.25

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Solution

The fourth proportional to 885.14, 1,221.71 and 586.25 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.14 : 1,221.71 = 586.25 : x
  2. Step 2: Convert to fraction form
    885.14/1,221.71 = 586.25/x
  3. Step 3: Cross multiply
    885.14x = 1,221.71 × 586.25
  4. Step 4: Simplify right side
    885.14x = 716,222.84
  5. Step 5: Solve for x
    x = 716,222.84/885.14
  6. Step 6: Final answer
    x = 809.17

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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.