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Finding the Fourth Proportional to 1,123.78, 1,685.67 and 302.06

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Solution

The fourth proportional to 1,123.78, 1,685.67 and 302.06 is: 453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.78 : 1,685.67 = 302.06 : x
  2. Step 2: Convert to fraction form
    1,123.78/1,685.67 = 302.06/x
  3. Step 3: Cross multiply
    1,123.78x = 1,685.67 × 302.06
  4. Step 4: Simplify right side
    1,123.78x = 509,166.41
  5. Step 5: Solve for x
    x = 509,166.41/1,123.78
  6. Step 6: Final answer
    x = 453.08

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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.