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Finding the Fourth Proportional to 602.10, 899.46 and 529.20

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Solution

The fourth proportional to 602.10, 899.46 and 529.20 is: 790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 899.46 = 529.20 : x
  2. Step 2: Convert to fraction form
    602.10/899.46 = 529.20/x
  3. Step 3: Cross multiply
    602.10x = 899.46 × 529.20
  4. Step 4: Simplify right side
    602.10x = 475,994.23
  5. Step 5: Solve for x
    x = 475,994.23/602.10
  6. Step 6: Final answer
    x = 790.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.