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Finding the Fourth Proportional to 613.06, 920.04 and 475.76

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Solution

The fourth proportional to 613.06, 920.04 and 475.76 is: 714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 920.04 = 475.76 : x
  2. Step 2: Convert to fraction form
    613.06/920.04 = 475.76/x
  3. Step 3: Cross multiply
    613.06x = 920.04 × 475.76
  4. Step 4: Simplify right side
    613.06x = 437,718.23
  5. Step 5: Solve for x
    x = 437,718.23/613.06
  6. Step 6: Final answer
    x = 714.00

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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.