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Finding the Fourth Proportional to 597.57, 889.96 and 557.47

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Solution

The fourth proportional to 597.57, 889.96 and 557.47 is: 830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 889.96 = 557.47 : x
  2. Step 2: Convert to fraction form
    597.57/889.96 = 557.47/x
  3. Step 3: Cross multiply
    597.57x = 889.96 × 557.47
  4. Step 4: Simplify right side
    597.57x = 496,126.00
  5. Step 5: Solve for x
    x = 496,126.00/597.57
  6. Step 6: Final answer
    x = 830.24

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Double scale
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1.5x scale

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.