Home / 1,390.24-1,917.85-830.53

Finding the Fourth Proportional to 1,390.24, 1,917.85 and 830.53

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Solution

The fourth proportional to 1,390.24, 1,917.85 and 830.53 is: 1,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.24 : 1,917.85 = 830.53 : x
  2. Step 2: Convert to fraction form
    1,390.24/1,917.85 = 830.53/x
  3. Step 3: Cross multiply
    1,390.24x = 1,917.85 × 830.53
  4. Step 4: Simplify right side
    1,390.24x = 1,592,831.96
  5. Step 5: Solve for x
    x = 1,592,831.96/1,390.24
  6. Step 6: Final answer
    x = 1,145.72

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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.