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Finding the Fourth Proportional to 521.16, 718.80 and 433.68

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Solution

The fourth proportional to 521.16, 718.80 and 433.68 is: 598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 718.80 = 433.68 : x
  2. Step 2: Convert to fraction form
    521.16/718.80 = 433.68/x
  3. Step 3: Cross multiply
    521.16x = 718.80 × 433.68
  4. Step 4: Simplify right side
    521.16x = 311,729.18
  5. Step 5: Solve for x
    x = 311,729.18/521.16
  6. Step 6: Final answer
    x = 598.14

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Why These Related Problems?

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