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Finding the Fourth Proportional to 924.90, 1,276.35 and 505.27

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Solution

The fourth proportional to 924.90, 1,276.35 and 505.27 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,276.35 = 505.27 : x
  2. Step 2: Convert to fraction form
    924.90/1,276.35 = 505.27/x
  3. Step 3: Cross multiply
    924.90x = 1,276.35 × 505.27
  4. Step 4: Simplify right side
    924.90x = 644,903.55
  5. Step 5: Solve for x
    x = 644,903.55/924.90
  6. Step 6: Final answer
    x = 697.27

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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.