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Finding the Fourth Proportional to 585.07, 807.37 and 319.51

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Solution

The fourth proportional to 585.07, 807.37 and 319.51 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 807.37 = 319.51 : x
  2. Step 2: Convert to fraction form
    585.07/807.37 = 319.51/x
  3. Step 3: Cross multiply
    585.07x = 807.37 × 319.51
  4. Step 4: Simplify right side
    585.07x = 257,962.79
  5. Step 5: Solve for x
    x = 257,962.79/585.07
  6. Step 6: Final answer
    x = 440.91

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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.