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Finding the Fourth Proportional to 615.55, 918.14 and 523.21

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Solution

The fourth proportional to 615.55, 918.14 and 523.21 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.55 : 918.14 = 523.21 : x
  2. Step 2: Convert to fraction form
    615.55/918.14 = 523.21/x
  3. Step 3: Cross multiply
    615.55x = 918.14 × 523.21
  4. Step 4: Simplify right side
    615.55x = 480,376.84
  5. Step 5: Solve for x
    x = 480,376.84/615.55
  6. Step 6: Final answer
    x = 780.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.