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Finding the Fourth Proportional to 585.90, 807.76 and 468.30

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Solution

The fourth proportional to 585.90, 807.76 and 468.30 is: 645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 807.76 = 468.30 : x
  2. Step 2: Convert to fraction form
    585.90/807.76 = 468.30/x
  3. Step 3: Cross multiply
    585.90x = 807.76 × 468.30
  4. Step 4: Simplify right side
    585.90x = 378,274.01
  5. Step 5: Solve for x
    x = 378,274.01/585.90
  6. Step 6: Final answer
    x = 645.63

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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.