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Finding the Fourth Proportional to 1,035.67, 1,550.77 and 624.25

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Solution

The fourth proportional to 1,035.67, 1,550.77 and 624.25 is: 934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.67 : 1,550.77 = 624.25 : x
  2. Step 2: Convert to fraction form
    1,035.67/1,550.77 = 624.25/x
  3. Step 3: Cross multiply
    1,035.67x = 1,550.77 × 624.25
  4. Step 4: Simplify right side
    1,035.67x = 968,068.17
  5. Step 5: Solve for x
    x = 968,068.17/1,035.67
  6. Step 6: Final answer
    x = 934.73

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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.