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Finding the Fourth Proportional to 651.02, 974.73 and 507.02

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Solution

The fourth proportional to 651.02, 974.73 and 507.02 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.02 : 974.73 = 507.02 : x
  2. Step 2: Convert to fraction form
    651.02/974.73 = 507.02/x
  3. Step 3: Cross multiply
    651.02x = 974.73 × 507.02
  4. Step 4: Simplify right side
    651.02x = 494,207.60
  5. Step 5: Solve for x
    x = 494,207.60/651.02
  6. Step 6: Final answer
    x = 759.13

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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.