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Finding the Fourth Proportional to 1,046.78, 1,570.14 and 316.41

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Solution

The fourth proportional to 1,046.78, 1,570.14 and 316.41 is: 474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.78 : 1,570.14 = 316.41 : x
  2. Step 2: Convert to fraction form
    1,046.78/1,570.14 = 316.41/x
  3. Step 3: Cross multiply
    1,046.78x = 1,570.14 × 316.41
  4. Step 4: Simplify right side
    1,046.78x = 496,808.00
  5. Step 5: Solve for x
    x = 496,808.00/1,046.78
  6. Step 6: Final answer
    x = 474.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.