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Finding the Fourth Proportional to 602.51, 904.97 and 585.50

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Solution

The fourth proportional to 602.51, 904.97 and 585.50 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 904.97 = 585.50 : x
  2. Step 2: Convert to fraction form
    602.51/904.97 = 585.50/x
  3. Step 3: Cross multiply
    602.51x = 904.97 × 585.50
  4. Step 4: Simplify right side
    602.51x = 529,856.87
  5. Step 5: Solve for x
    x = 529,856.87/602.51
  6. Step 6: Final answer
    x = 879.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.