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Finding the Fourth Proportional to 1,046.90, 1,570.21 and 316.52

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Solution

The fourth proportional to 1,046.90, 1,570.21 and 316.52 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.90 : 1,570.21 = 316.52 : x
  2. Step 2: Convert to fraction form
    1,046.90/1,570.21 = 316.52/x
  3. Step 3: Cross multiply
    1,046.90x = 1,570.21 × 316.52
  4. Step 4: Simplify right side
    1,046.90x = 497,002.87
  5. Step 5: Solve for x
    x = 497,002.87/1,046.90
  6. Step 6: Final answer
    x = 474.74

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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.