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Finding the Fourth Proportional to 473.15, 706.74 and 464.50

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Solution

The fourth proportional to 473.15, 706.74 and 464.50 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 706.74 = 464.50 : x
  2. Step 2: Convert to fraction form
    473.15/706.74 = 464.50/x
  3. Step 3: Cross multiply
    473.15x = 706.74 × 464.50
  4. Step 4: Simplify right side
    473.15x = 328,280.73
  5. Step 5: Solve for x
    x = 328,280.73/473.15
  6. Step 6: Final answer
    x = 693.82

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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.