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Finding the Fourth Proportional to 613.94, 841.71 and 603.02

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Solution

The fourth proportional to 613.94, 841.71 and 603.02 is: 826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 841.71 = 603.02 : x
  2. Step 2: Convert to fraction form
    613.94/841.71 = 603.02/x
  3. Step 3: Cross multiply
    613.94x = 841.71 × 603.02
  4. Step 4: Simplify right side
    613.94x = 507,564.95
  5. Step 5: Solve for x
    x = 507,564.95/613.94
  6. Step 6: Final answer
    x = 826.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.