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Finding the Fourth Proportional to 586.16, 807.30 and 461.62

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Solution

The fourth proportional to 586.16, 807.30 and 461.62 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 807.30 = 461.62 : x
  2. Step 2: Convert to fraction form
    586.16/807.30 = 461.62/x
  3. Step 3: Cross multiply
    586.16x = 807.30 × 461.62
  4. Step 4: Simplify right side
    586.16x = 372,665.83
  5. Step 5: Solve for x
    x = 372,665.83/586.16
  6. Step 6: Final answer
    x = 635.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.