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Finding the Fourth Proportional to 566.20, 776.35 and 510.72

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Solution

The fourth proportional to 566.20, 776.35 and 510.72 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 776.35 = 510.72 : x
  2. Step 2: Convert to fraction form
    566.20/776.35 = 510.72/x
  3. Step 3: Cross multiply
    566.20x = 776.35 × 510.72
  4. Step 4: Simplify right side
    566.20x = 396,497.47
  5. Step 5: Solve for x
    x = 396,497.47/566.20
  6. Step 6: Final answer
    x = 700.28

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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.