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Finding the Fourth Proportional to 740.78, 1,021.98 and 425.98

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Solution

The fourth proportional to 740.78, 1,021.98 and 425.98 is: 587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.78 : 1,021.98 = 425.98 : x
  2. Step 2: Convert to fraction form
    740.78/1,021.98 = 425.98/x
  3. Step 3: Cross multiply
    740.78x = 1,021.98 × 425.98
  4. Step 4: Simplify right side
    740.78x = 435,340.17
  5. Step 5: Solve for x
    x = 435,340.17/740.78
  6. Step 6: Final answer
    x = 587.68

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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.