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Finding the Fourth Proportional to 610.74, 841.59 and 435.78

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Solution

The fourth proportional to 610.74, 841.59 and 435.78 is: 600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 841.59 = 435.78 : x
  2. Step 2: Convert to fraction form
    610.74/841.59 = 435.78/x
  3. Step 3: Cross multiply
    610.74x = 841.59 × 435.78
  4. Step 4: Simplify right side
    610.74x = 366,748.09
  5. Step 5: Solve for x
    x = 366,748.09/610.74
  6. Step 6: Final answer
    x = 600.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.