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Finding the Fourth Proportional to 657.42, 989.63 and 597.90

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Solution

The fourth proportional to 657.42, 989.63 and 597.90 is: 900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 989.63 = 597.90 : x
  2. Step 2: Convert to fraction form
    657.42/989.63 = 597.90/x
  3. Step 3: Cross multiply
    657.42x = 989.63 × 597.90
  4. Step 4: Simplify right side
    657.42x = 591,696.79
  5. Step 5: Solve for x
    x = 591,696.79/657.42
  6. Step 6: Final answer
    x = 900.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.