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Finding the Fourth Proportional to 565.04, 776.02 and 513.20

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Solution

The fourth proportional to 565.04, 776.02 and 513.20 is: 704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.04 : 776.02 = 513.20 : x
  2. Step 2: Convert to fraction form
    565.04/776.02 = 513.20/x
  3. Step 3: Cross multiply
    565.04x = 776.02 × 513.20
  4. Step 4: Simplify right side
    565.04x = 398,253.46
  5. Step 5: Solve for x
    x = 398,253.46/565.04
  6. Step 6: Final answer
    x = 704.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.