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Finding the Fourth Proportional to 1,045.25, 1,442.50 and 579.50

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Solution

The fourth proportional to 1,045.25, 1,442.50 and 579.50 is: 799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.25 : 1,442.50 = 579.50 : x
  2. Step 2: Convert to fraction form
    1,045.25/1,442.50 = 579.50/x
  3. Step 3: Cross multiply
    1,045.25x = 1,442.50 × 579.50
  4. Step 4: Simplify right side
    1,045.25x = 835,925.85
  5. Step 5: Solve for x
    x = 835,925.85/1,045.25
  6. Step 6: Final answer
    x = 799.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.