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Finding the Fourth Proportional to 597.59, 899.90 and 521.47

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Solution

The fourth proportional to 597.59, 899.90 and 521.47 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.59 : 899.90 = 521.47 : x
  2. Step 2: Convert to fraction form
    597.59/899.90 = 521.47/x
  3. Step 3: Cross multiply
    597.59x = 899.90 × 521.47
  4. Step 4: Simplify right side
    597.59x = 469,263.75
  5. Step 5: Solve for x
    x = 469,263.75/597.59
  6. Step 6: Final answer
    x = 785.26

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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.