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Finding the Fourth Proportional to 745.66, 1,117.95 and 380.17

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Solution

The fourth proportional to 745.66, 1,117.95 and 380.17 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.66 : 1,117.95 = 380.17 : x
  2. Step 2: Convert to fraction form
    745.66/1,117.95 = 380.17/x
  3. Step 3: Cross multiply
    745.66x = 1,117.95 × 380.17
  4. Step 4: Simplify right side
    745.66x = 425,011.05
  5. Step 5: Solve for x
    x = 425,011.05/745.66
  6. Step 6: Final answer
    x = 569.98

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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.