Home / 1,029.61-1,420.95-587.67

Finding the Fourth Proportional to 1,029.61, 1,420.95 and 587.67

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Solution

The fourth proportional to 1,029.61, 1,420.95 and 587.67 is: 811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.61 : 1,420.95 = 587.67 : x
  2. Step 2: Convert to fraction form
    1,029.61/1,420.95 = 587.67/x
  3. Step 3: Cross multiply
    1,029.61x = 1,420.95 × 587.67
  4. Step 4: Simplify right side
    1,029.61x = 835,049.69
  5. Step 5: Solve for x
    x = 835,049.69/1,029.61
  6. Step 6: Final answer
    x = 811.03

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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.