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Finding the Fourth Proportional to 601.24, 897.52 and 556.15

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Solution

The fourth proportional to 601.24, 897.52 and 556.15 is: 830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.24 : 897.52 = 556.15 : x
  2. Step 2: Convert to fraction form
    601.24/897.52 = 556.15/x
  3. Step 3: Cross multiply
    601.24x = 897.52 × 556.15
  4. Step 4: Simplify right side
    601.24x = 499,155.75
  5. Step 5: Solve for x
    x = 499,155.75/601.24
  6. Step 6: Final answer
    x = 830.21

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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.