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Finding the Fourth Proportional to 1,968.57, 2,952.91 and 507.72

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Solution

The fourth proportional to 1,968.57, 2,952.91 and 507.72 is: 761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.57 : 2,952.91 = 507.72 : x
  2. Step 2: Convert to fraction form
    1,968.57/2,952.91 = 507.72/x
  3. Step 3: Cross multiply
    1,968.57x = 2,952.91 × 507.72
  4. Step 4: Simplify right side
    1,968.57x = 1,499,243.71
  5. Step 5: Solve for x
    x = 1,499,243.71/1,968.57
  6. Step 6: Final answer
    x = 761.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.