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Finding the Fourth Proportional to 594.30, 891.64 and 286.18

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Solution

The fourth proportional to 594.30, 891.64 and 286.18 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 891.64 = 286.18 : x
  2. Step 2: Convert to fraction form
    594.30/891.64 = 286.18/x
  3. Step 3: Cross multiply
    594.30x = 891.64 × 286.18
  4. Step 4: Simplify right side
    594.30x = 255,166.59
  5. Step 5: Solve for x
    x = 255,166.59/594.30
  6. Step 6: Final answer
    x = 429.36

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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.