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Finding the Fourth Proportional to 924.86, 1,276.47 and 551.72

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Solution

The fourth proportional to 924.86, 1,276.47 and 551.72 is: 761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.86 : 1,276.47 = 551.72 : x
  2. Step 2: Convert to fraction form
    924.86/1,276.47 = 551.72/x
  3. Step 3: Cross multiply
    924.86x = 1,276.47 × 551.72
  4. Step 4: Simplify right side
    924.86x = 704,247.65
  5. Step 5: Solve for x
    x = 704,247.65/924.86
  6. Step 6: Final answer
    x = 761.47

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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.