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Finding the Fourth Proportional to 469.46, 700.72 and 415.40

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Solution

The fourth proportional to 469.46, 700.72 and 415.40 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 700.72 = 415.40 : x
  2. Step 2: Convert to fraction form
    469.46/700.72 = 415.40/x
  3. Step 3: Cross multiply
    469.46x = 700.72 × 415.40
  4. Step 4: Simplify right side
    469.46x = 291,079.09
  5. Step 5: Solve for x
    x = 291,079.09/469.46
  6. Step 6: Final answer
    x = 620.03

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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.