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Finding the Fourth Proportional to 601.74, 898.28 and 556.65

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Solution

The fourth proportional to 601.74, 898.28 and 556.65 is: 830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 898.28 = 556.65 : x
  2. Step 2: Convert to fraction form
    601.74/898.28 = 556.65/x
  3. Step 3: Cross multiply
    601.74x = 898.28 × 556.65
  4. Step 4: Simplify right side
    601.74x = 500,024.78
  5. Step 5: Solve for x
    x = 500,024.78/601.74
  6. Step 6: Final answer
    x = 830.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.