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Finding the Fourth Proportional to 576.10, 807.35 and 576.10

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Solution

The fourth proportional to 576.10, 807.35 and 576.10 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 807.35 = 576.10 : x
  2. Step 2: Convert to fraction form
    576.10/807.35 = 576.10/x
  3. Step 3: Cross multiply
    576.10x = 807.35 × 576.10
  4. Step 4: Simplify right side
    576.10x = 465,114.34
  5. Step 5: Solve for x
    x = 465,114.34/576.10
  6. Step 6: Final answer
    x = 807.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.