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Finding the Fourth Proportional to 846.39, 1,269.51 and 502.07

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Solution

The fourth proportional to 846.39, 1,269.51 and 502.07 is: 753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.39 : 1,269.51 = 502.07 : x
  2. Step 2: Convert to fraction form
    846.39/1,269.51 = 502.07/x
  3. Step 3: Cross multiply
    846.39x = 1,269.51 × 502.07
  4. Step 4: Simplify right side
    846.39x = 637,382.89
  5. Step 5: Solve for x
    x = 637,382.89/846.39
  6. Step 6: Final answer
    x = 753.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.