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Finding the Fourth Proportional to 559.95, 833.64 and 557.25

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Solution

The fourth proportional to 559.95, 833.64 and 557.25 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.95 : 833.64 = 557.25 : x
  2. Step 2: Convert to fraction form
    559.95/833.64 = 557.25/x
  3. Step 3: Cross multiply
    559.95x = 833.64 × 557.25
  4. Step 4: Simplify right side
    559.95x = 464,545.89
  5. Step 5: Solve for x
    x = 464,545.89/559.95
  6. Step 6: Final answer
    x = 829.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.