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Finding the Fourth Proportional to 585.65, 807.16 and 438.03

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Solution

The fourth proportional to 585.65, 807.16 and 438.03 is: 603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 807.16 = 438.03 : x
  2. Step 2: Convert to fraction form
    585.65/807.16 = 438.03/x
  3. Step 3: Cross multiply
    585.65x = 807.16 × 438.03
  4. Step 4: Simplify right side
    585.65x = 353,560.29
  5. Step 5: Solve for x
    x = 353,560.29/585.65
  6. Step 6: Final answer
    x = 603.71

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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.