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Finding the Fourth Proportional to 1,049.37, 1,574.28 and 319.01

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Solution

The fourth proportional to 1,049.37, 1,574.28 and 319.01 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.37 : 1,574.28 = 319.01 : x
  2. Step 2: Convert to fraction form
    1,049.37/1,574.28 = 319.01/x
  3. Step 3: Cross multiply
    1,049.37x = 1,574.28 × 319.01
  4. Step 4: Simplify right side
    1,049.37x = 502,203.19
  5. Step 5: Solve for x
    x = 502,203.19/1,049.37
  6. Step 6: Final answer
    x = 478.58

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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.