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Finding the Fourth Proportional to 613.06, 918.63 and 521.38

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Solution

The fourth proportional to 613.06, 918.63 and 521.38 is: 781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 918.63 = 521.38 : x
  2. Step 2: Convert to fraction form
    613.06/918.63 = 521.38/x
  3. Step 3: Cross multiply
    613.06x = 918.63 × 521.38
  4. Step 4: Simplify right side
    613.06x = 478,955.31
  5. Step 5: Solve for x
    x = 478,955.31/613.06
  6. Step 6: Final answer
    x = 781.25

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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.