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Finding the Fourth Proportional to 1,012.71, 1,518.93 and 282.36

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Solution

The fourth proportional to 1,012.71, 1,518.93 and 282.36 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.71 : 1,518.93 = 282.36 : x
  2. Step 2: Convert to fraction form
    1,012.71/1,518.93 = 282.36/x
  3. Step 3: Cross multiply
    1,012.71x = 1,518.93 × 282.36
  4. Step 4: Simplify right side
    1,012.71x = 428,885.07
  5. Step 5: Solve for x
    x = 428,885.07/1,012.71
  6. Step 6: Final answer
    x = 423.50

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Double scale
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1.5x scale

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.