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Finding the Fourth Proportional to 924.93, 1,276.39 and 505.28

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Solution

The fourth proportional to 924.93, 1,276.39 and 505.28 is: 697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.93 : 1,276.39 = 505.28 : x
  2. Step 2: Convert to fraction form
    924.93/1,276.39 = 505.28/x
  3. Step 3: Cross multiply
    924.93x = 1,276.39 × 505.28
  4. Step 4: Simplify right side
    924.93x = 644,934.34
  5. Step 5: Solve for x
    x = 644,934.34/924.93
  6. Step 6: Final answer
    x = 697.28

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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.