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Finding the Fourth Proportional to 541.76, 808.90 and 464.60

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Solution

The fourth proportional to 541.76, 808.90 and 464.60 is: 693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 808.90 = 464.60 : x
  2. Step 2: Convert to fraction form
    541.76/808.90 = 464.60/x
  3. Step 3: Cross multiply
    541.76x = 808.90 × 464.60
  4. Step 4: Simplify right side
    541.76x = 375,814.94
  5. Step 5: Solve for x
    x = 375,814.94/541.76
  6. Step 6: Final answer
    x = 693.69

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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.