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Finding the Fourth Proportional to 585.06, 807.32 and 336.40

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Solution

The fourth proportional to 585.06, 807.32 and 336.40 is: 464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 807.32 = 336.40 : x
  2. Step 2: Convert to fraction form
    585.06/807.32 = 336.40/x
  3. Step 3: Cross multiply
    585.06x = 807.32 × 336.40
  4. Step 4: Simplify right side
    585.06x = 271,582.45
  5. Step 5: Solve for x
    x = 271,582.45/585.06
  6. Step 6: Final answer
    x = 464.20

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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.