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Finding the Fourth Proportional to 573.32, 859.70 and 400.07

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Solution

The fourth proportional to 573.32, 859.70 and 400.07 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.32 : 859.70 = 400.07 : x
  2. Step 2: Convert to fraction form
    573.32/859.70 = 400.07/x
  3. Step 3: Cross multiply
    573.32x = 859.70 × 400.07
  4. Step 4: Simplify right side
    573.32x = 343,940.18
  5. Step 5: Solve for x
    x = 343,940.18/573.32
  6. Step 6: Final answer
    x = 599.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.