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Finding the Fourth Proportional to 607.51, 837.84 and 411.30

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Solution

The fourth proportional to 607.51, 837.84 and 411.30 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.51 : 837.84 = 411.30 : x
  2. Step 2: Convert to fraction form
    607.51/837.84 = 411.30/x
  3. Step 3: Cross multiply
    607.51x = 837.84 × 411.30
  4. Step 4: Simplify right side
    607.51x = 344,603.59
  5. Step 5: Solve for x
    x = 344,603.59/607.51
  6. Step 6: Final answer
    x = 567.24

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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.