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Finding the Fourth Proportional to 677.60, 933.36 and 522.08

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Solution

The fourth proportional to 677.60, 933.36 and 522.08 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 933.36 = 522.08 : x
  2. Step 2: Convert to fraction form
    677.60/933.36 = 522.08/x
  3. Step 3: Cross multiply
    677.60x = 933.36 × 522.08
  4. Step 4: Simplify right side
    677.60x = 487,288.59
  5. Step 5: Solve for x
    x = 487,288.59/677.60
  6. Step 6: Final answer
    x = 719.14

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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.