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Finding the Fourth Proportional to 753.84, 1,041.30 and 684.99

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Solution

The fourth proportional to 753.84, 1,041.30 and 684.99 is: 946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,041.30 = 684.99 : x
  2. Step 2: Convert to fraction form
    753.84/1,041.30 = 684.99/x
  3. Step 3: Cross multiply
    753.84x = 1,041.30 × 684.99
  4. Step 4: Simplify right side
    753.84x = 713,280.09
  5. Step 5: Solve for x
    x = 713,280.09/753.84
  6. Step 6: Final answer
    x = 946.20

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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.