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Finding the Fourth Proportional to 1,036.94, 1,554.78 and 420.74

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Solution

The fourth proportional to 1,036.94, 1,554.78 and 420.74 is: 630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.94 : 1,554.78 = 420.74 : x
  2. Step 2: Convert to fraction form
    1,036.94/1,554.78 = 420.74/x
  3. Step 3: Cross multiply
    1,036.94x = 1,554.78 × 420.74
  4. Step 4: Simplify right side
    1,036.94x = 654,158.14
  5. Step 5: Solve for x
    x = 654,158.14/1,036.94
  6. Step 6: Final answer
    x = 630.85

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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.