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Finding the Fourth Proportional to 585.24, 807.60 and 319.68

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Solution

The fourth proportional to 585.24, 807.60 and 319.68 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 807.60 = 319.68 : x
  2. Step 2: Convert to fraction form
    585.24/807.60 = 319.68/x
  3. Step 3: Cross multiply
    585.24x = 807.60 × 319.68
  4. Step 4: Simplify right side
    585.24x = 258,173.57
  5. Step 5: Solve for x
    x = 258,173.57/585.24
  6. Step 6: Final answer
    x = 441.14

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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.