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Finding the Fourth Proportional to 507.32, 699.64 and 320.60

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Solution

The fourth proportional to 507.32, 699.64 and 320.60 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 699.64 = 320.60 : x
  2. Step 2: Convert to fraction form
    507.32/699.64 = 320.60/x
  3. Step 3: Cross multiply
    507.32x = 699.64 × 320.60
  4. Step 4: Simplify right side
    507.32x = 224,304.58
  5. Step 5: Solve for x
    x = 224,304.58/507.32
  6. Step 6: Final answer
    x = 442.14

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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.