Home / 1,077.20-1,613.80-904.99

Finding the Fourth Proportional to 1,077.20, 1,613.80 and 904.99

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Solution

The fourth proportional to 1,077.20, 1,613.80 and 904.99 is: 1,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.20 : 1,613.80 = 904.99 : x
  2. Step 2: Convert to fraction form
    1,077.20/1,613.80 = 904.99/x
  3. Step 3: Cross multiply
    1,077.20x = 1,613.80 × 904.99
  4. Step 4: Simplify right side
    1,077.20x = 1,460,472.86
  5. Step 5: Solve for x
    x = 1,460,472.86/1,077.20
  6. Step 6: Final answer
    x = 1,355.80

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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.