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Finding the Fourth Proportional to 1,495.07, 2,063.10 and 831.91

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Solution

The fourth proportional to 1,495.07, 2,063.10 and 831.91 is: 1,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.07 : 2,063.10 = 831.91 : x
  2. Step 2: Convert to fraction form
    1,495.07/2,063.10 = 831.91/x
  3. Step 3: Cross multiply
    1,495.07x = 2,063.10 × 831.91
  4. Step 4: Simplify right side
    1,495.07x = 1,716,313.52
  5. Step 5: Solve for x
    x = 1,716,313.52/1,495.07
  6. Step 6: Final answer
    x = 1,147.98

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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.