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Finding the Fourth Proportional to 598.16, 900.50 and 538.63

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Solution

The fourth proportional to 598.16, 900.50 and 538.63 is: 810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 900.50 = 538.63 : x
  2. Step 2: Convert to fraction form
    598.16/900.50 = 538.63/x
  3. Step 3: Cross multiply
    598.16x = 900.50 × 538.63
  4. Step 4: Simplify right side
    598.16x = 485,036.32
  5. Step 5: Solve for x
    x = 485,036.32/598.16
  6. Step 6: Final answer
    x = 810.88

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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.