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Finding the Fourth Proportional to 924.95, 1,276.42 and 505.30

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Solution

The fourth proportional to 924.95, 1,276.42 and 505.30 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.95 : 1,276.42 = 505.30 : x
  2. Step 2: Convert to fraction form
    924.95/1,276.42 = 505.30/x
  3. Step 3: Cross multiply
    924.95x = 1,276.42 × 505.30
  4. Step 4: Simplify right side
    924.95x = 644,975.03
  5. Step 5: Solve for x
    x = 644,975.03/924.95
  6. Step 6: Final answer
    x = 697.31

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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.