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Finding the Fourth Proportional to 761.87, 1,052.51 and 603.99

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Solution

The fourth proportional to 761.87, 1,052.51 and 603.99 is: 834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.87 : 1,052.51 = 603.99 : x
  2. Step 2: Convert to fraction form
    761.87/1,052.51 = 603.99/x
  3. Step 3: Cross multiply
    761.87x = 1,052.51 × 603.99
  4. Step 4: Simplify right side
    761.87x = 635,705.89
  5. Step 5: Solve for x
    x = 635,705.89/761.87
  6. Step 6: Final answer
    x = 834.40

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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.