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Finding the Fourth Proportional to 498.36, 689.58 and 433.08

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Solution

The fourth proportional to 498.36, 689.58 and 433.08 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 689.58 = 433.08 : x
  2. Step 2: Convert to fraction form
    498.36/689.58 = 433.08/x
  3. Step 3: Cross multiply
    498.36x = 689.58 × 433.08
  4. Step 4: Simplify right side
    498.36x = 298,643.31
  5. Step 5: Solve for x
    x = 298,643.31/498.36
  6. Step 6: Final answer
    x = 599.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.