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Finding the Fourth Proportional to 745.58, 1,118.43 and 312.50

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Solution

The fourth proportional to 745.58, 1,118.43 and 312.50 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.58 : 1,118.43 = 312.50 : x
  2. Step 2: Convert to fraction form
    745.58/1,118.43 = 312.50/x
  3. Step 3: Cross multiply
    745.58x = 1,118.43 × 312.50
  4. Step 4: Simplify right side
    745.58x = 349,509.38
  5. Step 5: Solve for x
    x = 349,509.38/745.58
  6. Step 6: Final answer
    x = 468.78

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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.