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Finding the Fourth Proportional to 1,042.34, 1,438.45 and 570.25

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Solution

The fourth proportional to 1,042.34, 1,438.45 and 570.25 is: 786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,438.45 = 570.25 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,438.45 = 570.25/x
  3. Step 3: Cross multiply
    1,042.34x = 1,438.45 × 570.25
  4. Step 4: Simplify right side
    1,042.34x = 820,276.48
  5. Step 5: Solve for x
    x = 820,276.48/1,042.34
  6. Step 6: Final answer
    x = 786.96

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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.