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Finding the Fourth Proportional to 469.48, 647.92 and 259.70

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Solution

The fourth proportional to 469.48, 647.92 and 259.70 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 647.92 = 259.70 : x
  2. Step 2: Convert to fraction form
    469.48/647.92 = 259.70/x
  3. Step 3: Cross multiply
    469.48x = 647.92 × 259.70
  4. Step 4: Simplify right side
    469.48x = 168,264.82
  5. Step 5: Solve for x
    x = 168,264.82/469.48
  6. Step 6: Final answer
    x = 358.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.