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Finding the Fourth Proportional to 602.40, 900.47 and 587.82

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Solution

The fourth proportional to 602.40, 900.47 and 587.82 is: 878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 900.47 = 587.82 : x
  2. Step 2: Convert to fraction form
    602.40/900.47 = 587.82/x
  3. Step 3: Cross multiply
    602.40x = 900.47 × 587.82
  4. Step 4: Simplify right side
    602.40x = 529,311.34
  5. Step 5: Solve for x
    x = 529,311.34/602.40
  6. Step 6: Final answer
    x = 878.67

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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.