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Finding the Fourth Proportional to 967.79, 1,335.56 and 569.35

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Solution

The fourth proportional to 967.79, 1,335.56 and 569.35 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.79 : 1,335.56 = 569.35 : x
  2. Step 2: Convert to fraction form
    967.79/1,335.56 = 569.35/x
  3. Step 3: Cross multiply
    967.79x = 1,335.56 × 569.35
  4. Step 4: Simplify right side
    967.79x = 760,401.09
  5. Step 5: Solve for x
    x = 760,401.09/967.79
  6. Step 6: Final answer
    x = 785.71

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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.