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Finding the Fourth Proportional to 649.79, 975.45 and 512.93

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Solution

The fourth proportional to 649.79, 975.45 and 512.93 is: 770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.79 : 975.45 = 512.93 : x
  2. Step 2: Convert to fraction form
    649.79/975.45 = 512.93/x
  3. Step 3: Cross multiply
    649.79x = 975.45 × 512.93
  4. Step 4: Simplify right side
    649.79x = 500,337.57
  5. Step 5: Solve for x
    x = 500,337.57/649.79
  6. Step 6: Final answer
    x = 770.00

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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.