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Finding the Fourth Proportional to 586, 809.76 and 557.53

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Solution

The fourth proportional to 586, 809.76 and 557.53 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 809.76 = 557.53 : x
  2. Step 2: Convert to fraction form
    586/809.76 = 557.53/x
  3. Step 3: Cross multiply
    586x = 809.76 × 557.53
  4. Step 4: Simplify right side
    586x = 451,465.49
  5. Step 5: Solve for x
    x = 451,465.49/586
  6. Step 6: Final answer
    x = 770.42

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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.