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Finding the Fourth Proportional to 559.83, 840.53 and 286.11

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Solution

The fourth proportional to 559.83, 840.53 and 286.11 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 840.53 = 286.11 : x
  2. Step 2: Convert to fraction form
    559.83/840.53 = 286.11/x
  3. Step 3: Cross multiply
    559.83x = 840.53 × 286.11
  4. Step 4: Simplify right side
    559.83x = 240,482.61
  5. Step 5: Solve for x
    x = 240,482.61/559.83
  6. Step 6: Final answer
    x = 429.56

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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.