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Finding the Fourth Proportional to 773.94, 1,068.04 and 424.63

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Solution

The fourth proportional to 773.94, 1,068.04 and 424.63 is: 585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.94 : 1,068.04 = 424.63 : x
  2. Step 2: Convert to fraction form
    773.94/1,068.04 = 424.63/x
  3. Step 3: Cross multiply
    773.94x = 1,068.04 × 424.63
  4. Step 4: Simplify right side
    773.94x = 453,521.83
  5. Step 5: Solve for x
    x = 453,521.83/773.94
  6. Step 6: Final answer
    x = 585.99

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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.