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Finding the Fourth Proportional to 604.80, 900.95 and 586.68

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Solution

The fourth proportional to 604.80, 900.95 and 586.68 is: 873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.80 : 900.95 = 586.68 : x
  2. Step 2: Convert to fraction form
    604.80/900.95 = 586.68/x
  3. Step 3: Cross multiply
    604.80x = 900.95 × 586.68
  4. Step 4: Simplify right side
    604.80x = 528,569.35
  5. Step 5: Solve for x
    x = 528,569.35/604.80
  6. Step 6: Final answer
    x = 873.96

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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.