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Finding the Fourth Proportional to 464.03, 695.10 and 386.75

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Solution

The fourth proportional to 464.03, 695.10 and 386.75 is: 579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 695.10 = 386.75 : x
  2. Step 2: Convert to fraction form
    464.03/695.10 = 386.75/x
  3. Step 3: Cross multiply
    464.03x = 695.10 × 386.75
  4. Step 4: Simplify right side
    464.03x = 268,829.93
  5. Step 5: Solve for x
    x = 268,829.93/464.03
  6. Step 6: Final answer
    x = 579.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.