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Finding the Fourth Proportional to 594.78, 891.71 and 286.77

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Solution

The fourth proportional to 594.78, 891.71 and 286.77 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 891.71 = 286.77 : x
  2. Step 2: Convert to fraction form
    594.78/891.71 = 286.77/x
  3. Step 3: Cross multiply
    594.78x = 891.71 × 286.77
  4. Step 4: Simplify right side
    594.78x = 255,718.66
  5. Step 5: Solve for x
    x = 255,718.66/594.78
  6. Step 6: Final answer
    x = 429.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.