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Finding the Fourth Proportional to 924.74, 1,276.18 and 505.14

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Solution

The fourth proportional to 924.74, 1,276.18 and 505.14 is: 697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,276.18 = 505.14 : x
  2. Step 2: Convert to fraction form
    924.74/1,276.18 = 505.14/x
  3. Step 3: Cross multiply
    924.74x = 1,276.18 × 505.14
  4. Step 4: Simplify right side
    924.74x = 644,642.93
  5. Step 5: Solve for x
    x = 644,642.93/924.74
  6. Step 6: Final answer
    x = 697.10

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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.