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Finding the Fourth Proportional to 569.25, 784.76 and 403.85

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Solution

The fourth proportional to 569.25, 784.76 and 403.85 is: 556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.25 : 784.76 = 403.85 : x
  2. Step 2: Convert to fraction form
    569.25/784.76 = 403.85/x
  3. Step 3: Cross multiply
    569.25x = 784.76 × 403.85
  4. Step 4: Simplify right side
    569.25x = 316,925.27
  5. Step 5: Solve for x
    x = 316,925.27/569.25
  6. Step 6: Final answer
    x = 556.74

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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.