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Finding the Fourth Proportional to 504.92, 696.99 and 339.07

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Solution

The fourth proportional to 504.92, 696.99 and 339.07 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 696.99 = 339.07 : x
  2. Step 2: Convert to fraction form
    504.92/696.99 = 339.07/x
  3. Step 3: Cross multiply
    504.92x = 696.99 × 339.07
  4. Step 4: Simplify right side
    504.92x = 236,328.40
  5. Step 5: Solve for x
    x = 236,328.40/504.92
  6. Step 6: Final answer
    x = 468.05

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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.