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Finding the Fourth Proportional to 597.57, 896.53 and 488.90

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Solution

The fourth proportional to 597.57, 896.53 and 488.90 is: 733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 896.53 = 488.90 : x
  2. Step 2: Convert to fraction form
    597.57/896.53 = 488.90/x
  3. Step 3: Cross multiply
    597.57x = 896.53 × 488.90
  4. Step 4: Simplify right side
    597.57x = 438,314.54
  5. Step 5: Solve for x
    x = 438,314.54/597.57
  6. Step 6: Final answer
    x = 733.49

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1.5x scale

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.