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Finding the Fourth Proportional to 507.90, 700.80 and 311.46

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Solution

The fourth proportional to 507.90, 700.80 and 311.46 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 700.80 = 311.46 : x
  2. Step 2: Convert to fraction form
    507.90/700.80 = 311.46/x
  3. Step 3: Cross multiply
    507.90x = 700.80 × 311.46
  4. Step 4: Simplify right side
    507.90x = 218,271.17
  5. Step 5: Solve for x
    x = 218,271.17/507.90
  6. Step 6: Final answer
    x = 429.75

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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.