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Finding the Fourth Proportional to 507.18, 699.86 and 320.70

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Solution

The fourth proportional to 507.18, 699.86 and 320.70 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.18 : 699.86 = 320.70 : x
  2. Step 2: Convert to fraction form
    507.18/699.86 = 320.70/x
  3. Step 3: Cross multiply
    507.18x = 699.86 × 320.70
  4. Step 4: Simplify right side
    507.18x = 224,445.10
  5. Step 5: Solve for x
    x = 224,445.10/507.18
  6. Step 6: Final answer
    x = 442.54

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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.