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Finding the Fourth Proportional to 745.32, 1,029.06 and 465.66

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Solution

The fourth proportional to 745.32, 1,029.06 and 465.66 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.32 : 1,029.06 = 465.66 : x
  2. Step 2: Convert to fraction form
    745.32/1,029.06 = 465.66/x
  3. Step 3: Cross multiply
    745.32x = 1,029.06 × 465.66
  4. Step 4: Simplify right side
    745.32x = 479,192.08
  5. Step 5: Solve for x
    x = 479,192.08/745.32
  6. Step 6: Final answer
    x = 642.93

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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.