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Finding the Fourth Proportional to 464.13, 693.36 and 354.78

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Solution

The fourth proportional to 464.13, 693.36 and 354.78 is: 530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 693.36 = 354.78 : x
  2. Step 2: Convert to fraction form
    464.13/693.36 = 354.78/x
  3. Step 3: Cross multiply
    464.13x = 693.36 × 354.78
  4. Step 4: Simplify right side
    464.13x = 245,990.26
  5. Step 5: Solve for x
    x = 245,990.26/464.13
  6. Step 6: Final answer
    x = 530.00

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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.