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Finding the Fourth Proportional to 745.59, 1,029.12 and 466.05

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Solution

The fourth proportional to 745.59, 1,029.12 and 466.05 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.59 : 1,029.12 = 466.05 : x
  2. Step 2: Convert to fraction form
    745.59/1,029.12 = 466.05/x
  3. Step 3: Cross multiply
    745.59x = 1,029.12 × 466.05
  4. Step 4: Simplify right side
    745.59x = 479,621.38
  5. Step 5: Solve for x
    x = 479,621.38/745.59
  6. Step 6: Final answer
    x = 643.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.