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Finding the Fourth Proportional to 1,283.65, 1,924.17 and 553.03

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Solution

The fourth proportional to 1,283.65, 1,924.17 and 553.03 is: 828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.65 : 1,924.17 = 553.03 : x
  2. Step 2: Convert to fraction form
    1,283.65/1,924.17 = 553.03/x
  3. Step 3: Cross multiply
    1,283.65x = 1,924.17 × 553.03
  4. Step 4: Simplify right side
    1,283.65x = 1,064,123.74
  5. Step 5: Solve for x
    x = 1,064,123.74/1,283.65
  6. Step 6: Final answer
    x = 828.98

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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.