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Finding the Fourth Proportional to 1,085.44, 1,628.40 and 316

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Solution

The fourth proportional to 1,085.44, 1,628.40 and 316 is: 474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.44 : 1,628.40 = 316 : x
  2. Step 2: Convert to fraction form
    1,085.44/1,628.40 = 316/x
  3. Step 3: Cross multiply
    1,085.44x = 1,628.40 × 316
  4. Step 4: Simplify right side
    1,085.44x = 514,574.40
  5. Step 5: Solve for x
    x = 514,574.40/1,085.44
  6. Step 6: Final answer
    x = 474.07

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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.