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Finding the Fourth Proportional to 1,064.38, 1,594.38 and 1,051.42

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Solution

The fourth proportional to 1,064.38, 1,594.38 and 1,051.42 is: 1,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.38 : 1,594.38 = 1,051.42 : x
  2. Step 2: Convert to fraction form
    1,064.38/1,594.38 = 1,051.42/x
  3. Step 3: Cross multiply
    1,064.38x = 1,594.38 × 1,051.42
  4. Step 4: Simplify right side
    1,064.38x = 1,676,363.02
  5. Step 5: Solve for x
    x = 1,676,363.02/1,064.38
  6. Step 6: Final answer
    x = 1,574.97

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