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Finding the Fourth Proportional to 1,038.74, 1,433.01 and 624.50

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Solution

The fourth proportional to 1,038.74, 1,433.01 and 624.50 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.74 : 1,433.01 = 624.50 : x
  2. Step 2: Convert to fraction form
    1,038.74/1,433.01 = 624.50/x
  3. Step 3: Cross multiply
    1,038.74x = 1,433.01 × 624.50
  4. Step 4: Simplify right side
    1,038.74x = 894,914.75
  5. Step 5: Solve for x
    x = 894,914.75/1,038.74
  6. Step 6: Final answer
    x = 861.54

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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.