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Finding the Fourth Proportional to 885.32, 1,222.62 and 575

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Solution

The fourth proportional to 885.32, 1,222.62 and 575 is: 794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.32 : 1,222.62 = 575 : x
  2. Step 2: Convert to fraction form
    885.32/1,222.62 = 575/x
  3. Step 3: Cross multiply
    885.32x = 1,222.62 × 575
  4. Step 4: Simplify right side
    885.32x = 703,006.50
  5. Step 5: Solve for x
    x = 703,006.50/885.32
  6. Step 6: Final answer
    x = 794.07

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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.