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Finding the Fourth Proportional to 745.69, 1,029.55 and 466.32

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Solution

The fourth proportional to 745.69, 1,029.55 and 466.32 is: 643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.69 : 1,029.55 = 466.32 : x
  2. Step 2: Convert to fraction form
    745.69/1,029.55 = 466.32/x
  3. Step 3: Cross multiply
    745.69x = 1,029.55 × 466.32
  4. Step 4: Simplify right side
    745.69x = 480,099.76
  5. Step 5: Solve for x
    x = 480,099.76/745.69
  6. Step 6: Final answer
    x = 643.83

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Double scale
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1.5x scale

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.