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Finding the Fourth Proportional to 745.70, 1,029.04 and 430.92

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Solution

The fourth proportional to 745.70, 1,029.04 and 430.92 is: 594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.70 : 1,029.04 = 430.92 : x
  2. Step 2: Convert to fraction form
    745.70/1,029.04 = 430.92/x
  3. Step 3: Cross multiply
    745.70x = 1,029.04 × 430.92
  4. Step 4: Simplify right side
    745.70x = 443,426.62
  5. Step 5: Solve for x
    x = 443,426.62/745.70
  6. Step 6: Final answer
    x = 594.64

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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.