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Finding the Fourth Proportional to 597.66, 899.75 and 538.13

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Solution

The fourth proportional to 597.66, 899.75 and 538.13 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 899.75 = 538.13 : x
  2. Step 2: Convert to fraction form
    597.66/899.75 = 538.13/x
  3. Step 3: Cross multiply
    597.66x = 899.75 × 538.13
  4. Step 4: Simplify right side
    597.66x = 484,175.28
  5. Step 5: Solve for x
    x = 484,175.28/597.66
  6. Step 6: Final answer
    x = 810.12

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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.