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Finding the Fourth Proportional to 740.98, 1,023.33 and 506.01

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Solution

The fourth proportional to 740.98, 1,023.33 and 506.01 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.98 : 1,023.33 = 506.01 : x
  2. Step 2: Convert to fraction form
    740.98/1,023.33 = 506.01/x
  3. Step 3: Cross multiply
    740.98x = 1,023.33 × 506.01
  4. Step 4: Simplify right side
    740.98x = 517,820.95
  5. Step 5: Solve for x
    x = 517,820.95/740.98
  6. Step 6: Final answer
    x = 698.83

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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.