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Finding the Fourth Proportional to 585.56, 808.33 and 389.34

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Solution

The fourth proportional to 585.56, 808.33 and 389.34 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 808.33 = 389.34 : x
  2. Step 2: Convert to fraction form
    585.56/808.33 = 389.34/x
  3. Step 3: Cross multiply
    585.56x = 808.33 × 389.34
  4. Step 4: Simplify right side
    585.56x = 314,715.20
  5. Step 5: Solve for x
    x = 314,715.20/585.56
  6. Step 6: Final answer
    x = 537.46

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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.