Home / 1,046.49-1,569.75-316.10

Finding the Fourth Proportional to 1,046.49, 1,569.75 and 316.10

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Solution

The fourth proportional to 1,046.49, 1,569.75 and 316.10 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.49 : 1,569.75 = 316.10 : x
  2. Step 2: Convert to fraction form
    1,046.49/1,569.75 = 316.10/x
  3. Step 3: Cross multiply
    1,046.49x = 1,569.75 × 316.10
  4. Step 4: Simplify right side
    1,046.49x = 496,188.55
  5. Step 5: Solve for x
    x = 496,188.55/1,046.49
  6. Step 6: Final answer
    x = 474.15

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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.