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Finding the Fourth Proportional to 1,050.72, 1,574.13 and 588.72

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Solution

The fourth proportional to 1,050.72, 1,574.13 and 588.72 is: 881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.72 : 1,574.13 = 588.72 : x
  2. Step 2: Convert to fraction form
    1,050.72/1,574.13 = 588.72/x
  3. Step 3: Cross multiply
    1,050.72x = 1,574.13 × 588.72
  4. Step 4: Simplify right side
    1,050.72x = 926,721.81
  5. Step 5: Solve for x
    x = 926,721.81/1,050.72
  6. Step 6: Final answer
    x = 881.99

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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.