Home / 1,046.58-1,569.87-316.15

Finding the Fourth Proportional to 1,046.58, 1,569.87 and 316.15

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Solution

The fourth proportional to 1,046.58, 1,569.87 and 316.15 is: 474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.58 : 1,569.87 = 316.15 : x
  2. Step 2: Convert to fraction form
    1,046.58/1,569.87 = 316.15/x
  3. Step 3: Cross multiply
    1,046.58x = 1,569.87 × 316.15
  4. Step 4: Simplify right side
    1,046.58x = 496,314.40
  5. Step 5: Solve for x
    x = 496,314.40/1,046.58
  6. Step 6: Final answer
    x = 474.23

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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.