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Finding the Fourth Proportional to 1,042.48, 1,438.60 and 570.37

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Solution

The fourth proportional to 1,042.48, 1,438.60 and 570.37 is: 787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.48 : 1,438.60 = 570.37 : x
  2. Step 2: Convert to fraction form
    1,042.48/1,438.60 = 570.37/x
  3. Step 3: Cross multiply
    1,042.48x = 1,438.60 × 570.37
  4. Step 4: Simplify right side
    1,042.48x = 820,533.94
  5. Step 5: Solve for x
    x = 820,533.94/1,042.48
  6. Step 6: Final answer
    x = 787.10

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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.