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Finding the Fourth Proportional to 507.54, 700.35 and 311.01

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Solution

The fourth proportional to 507.54, 700.35 and 311.01 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 700.35 = 311.01 : x
  2. Step 2: Convert to fraction form
    507.54/700.35 = 311.01/x
  3. Step 3: Cross multiply
    507.54x = 700.35 × 311.01
  4. Step 4: Simplify right side
    507.54x = 217,815.85
  5. Step 5: Solve for x
    x = 217,815.85/507.54
  6. Step 6: Final answer
    x = 429.16

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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.