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Finding the Fourth Proportional to 459.84, 688.16 and 433.19

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Solution

The fourth proportional to 459.84, 688.16 and 433.19 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 688.16 = 433.19 : x
  2. Step 2: Convert to fraction form
    459.84/688.16 = 433.19/x
  3. Step 3: Cross multiply
    459.84x = 688.16 × 433.19
  4. Step 4: Simplify right side
    459.84x = 298,106.83
  5. Step 5: Solve for x
    x = 298,106.83/459.84
  6. Step 6: Final answer
    x = 648.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.