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Finding the Fourth Proportional to 602.51, 899.39 and 557.42

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Solution

The fourth proportional to 602.51, 899.39 and 557.42 is: 832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 899.39 = 557.42 : x
  2. Step 2: Convert to fraction form
    602.51/899.39 = 557.42/x
  3. Step 3: Cross multiply
    602.51x = 899.39 × 557.42
  4. Step 4: Simplify right side
    602.51x = 501,334.87
  5. Step 5: Solve for x
    x = 501,334.87/602.51
  6. Step 6: Final answer
    x = 832.08

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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.