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Finding the Fourth Proportional to 903.63, 1,246.51 and 624.01

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Solution

The fourth proportional to 903.63, 1,246.51 and 624.01 is: 860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,246.51 = 624.01 : x
  2. Step 2: Convert to fraction form
    903.63/1,246.51 = 624.01/x
  3. Step 3: Cross multiply
    903.63x = 1,246.51 × 624.01
  4. Step 4: Simplify right side
    903.63x = 777,837.04
  5. Step 5: Solve for x
    x = 777,837.04/903.63
  6. Step 6: Final answer
    x = 860.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.