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Finding the Fourth Proportional to 1,115.71, 1,670.47 and 840.98

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Solution

The fourth proportional to 1,115.71, 1,670.47 and 840.98 is: 1,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.71 : 1,670.47 = 840.98 : x
  2. Step 2: Convert to fraction form
    1,115.71/1,670.47 = 840.98/x
  3. Step 3: Cross multiply
    1,115.71x = 1,670.47 × 840.98
  4. Step 4: Simplify right side
    1,115.71x = 1,404,831.86
  5. Step 5: Solve for x
    x = 1,404,831.86/1,115.71
  6. Step 6: Final answer
    x = 1,259.14

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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.