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Finding the Fourth Proportional to 610.02, 913.72 and 378.98

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Solution

The fourth proportional to 610.02, 913.72 and 378.98 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 913.72 = 378.98 : x
  2. Step 2: Convert to fraction form
    610.02/913.72 = 378.98/x
  3. Step 3: Cross multiply
    610.02x = 913.72 × 378.98
  4. Step 4: Simplify right side
    610.02x = 346,281.61
  5. Step 5: Solve for x
    x = 346,281.61/610.02
  6. Step 6: Final answer
    x = 567.66

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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.