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Finding the Fourth Proportional to 464.51, 697.17 and 259.28

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Solution

The fourth proportional to 464.51, 697.17 and 259.28 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 697.17 = 259.28 : x
  2. Step 2: Convert to fraction form
    464.51/697.17 = 259.28/x
  3. Step 3: Cross multiply
    464.51x = 697.17 × 259.28
  4. Step 4: Simplify right side
    464.51x = 180,762.24
  5. Step 5: Solve for x
    x = 180,762.24/464.51
  6. Step 6: Final answer
    x = 389.15

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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.