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Finding the Fourth Proportional to 1,135.77, 1,703.66 and 355.76

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Solution

The fourth proportional to 1,135.77, 1,703.66 and 355.76 is: 533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.77 : 1,703.66 = 355.76 : x
  2. Step 2: Convert to fraction form
    1,135.77/1,703.66 = 355.76/x
  3. Step 3: Cross multiply
    1,135.77x = 1,703.66 × 355.76
  4. Step 4: Simplify right side
    1,135.77x = 606,083.78
  5. Step 5: Solve for x
    x = 606,083.78/1,135.77
  6. Step 6: Final answer
    x = 533.63

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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.