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Finding the Fourth Proportional to 762.29, 1,051.94 and 463.58

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Solution

The fourth proportional to 762.29, 1,051.94 and 463.58 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,051.94 = 463.58 : x
  2. Step 2: Convert to fraction form
    762.29/1,051.94 = 463.58/x
  3. Step 3: Cross multiply
    762.29x = 1,051.94 × 463.58
  4. Step 4: Simplify right side
    762.29x = 487,650.77
  5. Step 5: Solve for x
    x = 487,650.77/762.29
  6. Step 6: Final answer
    x = 639.72

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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.