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Finding the Fourth Proportional to 576.77, 790.76 and 566.40

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Solution

The fourth proportional to 576.77, 790.76 and 566.40 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.77 : 790.76 = 566.40 : x
  2. Step 2: Convert to fraction form
    576.77/790.76 = 566.40/x
  3. Step 3: Cross multiply
    576.77x = 790.76 × 566.40
  4. Step 4: Simplify right side
    576.77x = 447,886.46
  5. Step 5: Solve for x
    x = 447,886.46/576.77
  6. Step 6: Final answer
    x = 776.54

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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.