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Finding the Fourth Proportional to 924.87, 1,386.84 and 405.30

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Solution

The fourth proportional to 924.87, 1,386.84 and 405.30 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.87 : 1,386.84 = 405.30 : x
  2. Step 2: Convert to fraction form
    924.87/1,386.84 = 405.30/x
  3. Step 3: Cross multiply
    924.87x = 1,386.84 × 405.30
  4. Step 4: Simplify right side
    924.87x = 562,086.25
  5. Step 5: Solve for x
    x = 562,086.25/924.87
  6. Step 6: Final answer
    x = 607.75

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Why These Related Problems?

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