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Finding the Fourth Proportional to 561.79, 841.07 and 446.40

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Solution

The fourth proportional to 561.79, 841.07 and 446.40 is: 668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 841.07 = 446.40 : x
  2. Step 2: Convert to fraction form
    561.79/841.07 = 446.40/x
  3. Step 3: Cross multiply
    561.79x = 841.07 × 446.40
  4. Step 4: Simplify right side
    561.79x = 375,454.76
  5. Step 5: Solve for x
    x = 375,454.76/561.79
  6. Step 6: Final answer
    x = 668.32

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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.