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Finding the Fourth Proportional to 649.02, 972.63 and 511.44

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Solution

The fourth proportional to 649.02, 972.63 and 511.44 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 972.63 = 511.44 : x
  2. Step 2: Convert to fraction form
    649.02/972.63 = 511.44/x
  3. Step 3: Cross multiply
    649.02x = 972.63 × 511.44
  4. Step 4: Simplify right side
    649.02x = 497,441.89
  5. Step 5: Solve for x
    x = 497,441.89/649.02
  6. Step 6: Final answer
    x = 766.45

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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.