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Finding the Fourth Proportional to 1,035.30, 1,552.95 and 265.80

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Solution

The fourth proportional to 1,035.30, 1,552.95 and 265.80 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.30 : 1,552.95 = 265.80 : x
  2. Step 2: Convert to fraction form
    1,035.30/1,552.95 = 265.80/x
  3. Step 3: Cross multiply
    1,035.30x = 1,552.95 × 265.80
  4. Step 4: Simplify right side
    1,035.30x = 412,774.11
  5. Step 5: Solve for x
    x = 412,774.11/1,035.30
  6. Step 6: Final answer
    x = 398.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.