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Finding the Fourth Proportional to 602.07, 830.05 and 496.77

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Solution

The fourth proportional to 602.07, 830.05 and 496.77 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.07 : 830.05 = 496.77 : x
  2. Step 2: Convert to fraction form
    602.07/830.05 = 496.77/x
  3. Step 3: Cross multiply
    602.07x = 830.05 × 496.77
  4. Step 4: Simplify right side
    602.07x = 412,341.45
  5. Step 5: Solve for x
    x = 412,341.45/602.07
  6. Step 6: Final answer
    x = 684.87

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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.