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Finding the Fourth Proportional to 471.46, 703.70 and 417.40

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Solution

The fourth proportional to 471.46, 703.70 and 417.40 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 703.70 = 417.40 : x
  2. Step 2: Convert to fraction form
    471.46/703.70 = 417.40/x
  3. Step 3: Cross multiply
    471.46x = 703.70 × 417.40
  4. Step 4: Simplify right side
    471.46x = 293,724.38
  5. Step 5: Solve for x
    x = 293,724.38/471.46
  6. Step 6: Final answer
    x = 623.01

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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.