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Finding the Fourth Proportional to 585.07, 808.46 and 556.59

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Solution

The fourth proportional to 585.07, 808.46 and 556.59 is: 769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 808.46 = 556.59 : x
  2. Step 2: Convert to fraction form
    585.07/808.46 = 556.59/x
  3. Step 3: Cross multiply
    585.07x = 808.46 × 556.59
  4. Step 4: Simplify right side
    585.07x = 449,980.75
  5. Step 5: Solve for x
    x = 449,980.75/585.07
  6. Step 6: Final answer
    x = 769.11

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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.