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Finding the Fourth Proportional to 561.01, 841.57 and 400.03

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Solution

The fourth proportional to 561.01, 841.57 and 400.03 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.01 : 841.57 = 400.03 : x
  2. Step 2: Convert to fraction form
    561.01/841.57 = 400.03/x
  3. Step 3: Cross multiply
    561.01x = 841.57 × 400.03
  4. Step 4: Simplify right side
    561.01x = 336,653.25
  5. Step 5: Solve for x
    x = 336,653.25/561.01
  6. Step 6: Final answer
    x = 600.08

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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.