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Finding the Fourth Proportional to 1,042.84, 1,439.08 and 570.72

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Solution

The fourth proportional to 1,042.84, 1,439.08 and 570.72 is: 787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.84 : 1,439.08 = 570.72 : x
  2. Step 2: Convert to fraction form
    1,042.84/1,439.08 = 570.72/x
  3. Step 3: Cross multiply
    1,042.84x = 1,439.08 × 570.72
  4. Step 4: Simplify right side
    1,042.84x = 821,311.74
  5. Step 5: Solve for x
    x = 821,311.74/1,042.84
  6. Step 6: Final answer
    x = 787.57

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Why These Related Problems?

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