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Finding the Fourth Proportional to 561.24, 841.58 and 432.68

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Solution

The fourth proportional to 561.24, 841.58 and 432.68 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 841.58 = 432.68 : x
  2. Step 2: Convert to fraction form
    561.24/841.58 = 432.68/x
  3. Step 3: Cross multiply
    561.24x = 841.58 × 432.68
  4. Step 4: Simplify right side
    561.24x = 364,134.83
  5. Step 5: Solve for x
    x = 364,134.83/561.24
  6. Step 6: Final answer
    x = 648.80

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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.