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Finding the Fourth Proportional to 602.45, 830.83 and 509.39

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Solution

The fourth proportional to 602.45, 830.83 and 509.39 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.45 : 830.83 = 509.39 : x
  2. Step 2: Convert to fraction form
    602.45/830.83 = 509.39/x
  3. Step 3: Cross multiply
    602.45x = 830.83 × 509.39
  4. Step 4: Simplify right side
    602.45x = 423,216.57
  5. Step 5: Solve for x
    x = 423,216.57/602.45
  6. Step 6: Final answer
    x = 702.49

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1.5x scale

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.