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Finding the Fourth Proportional to 758.33, 1,135.35 and 483.74

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Solution

The fourth proportional to 758.33, 1,135.35 and 483.74 is: 724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.33 : 1,135.35 = 483.74 : x
  2. Step 2: Convert to fraction form
    758.33/1,135.35 = 483.74/x
  3. Step 3: Cross multiply
    758.33x = 1,135.35 × 483.74
  4. Step 4: Simplify right side
    758.33x = 549,208.53
  5. Step 5: Solve for x
    x = 549,208.53/758.33
  6. Step 6: Final answer
    x = 724.24

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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.