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Finding the Fourth Proportional to 604.86, 900.89 and 597.66

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Solution

The fourth proportional to 604.86, 900.89 and 597.66 is: 890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 900.89 = 597.66 : x
  2. Step 2: Convert to fraction form
    604.86/900.89 = 597.66/x
  3. Step 3: Cross multiply
    604.86x = 900.89 × 597.66
  4. Step 4: Simplify right side
    604.86x = 538,422.93
  5. Step 5: Solve for x
    x = 538,422.93/604.86
  6. Step 6: Final answer
    x = 890.16

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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.