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Finding the Fourth Proportional to 924.97, 1,387.71 and 405.02

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Solution

The fourth proportional to 924.97, 1,387.71 and 405.02 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.97 : 1,387.71 = 405.02 : x
  2. Step 2: Convert to fraction form
    924.97/1,387.71 = 405.02/x
  3. Step 3: Cross multiply
    924.97x = 1,387.71 × 405.02
  4. Step 4: Simplify right side
    924.97x = 562,043.37
  5. Step 5: Solve for x
    x = 562,043.37/924.97
  6. Step 6: Final answer
    x = 607.64

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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.