Home / 1,026.06-1,416.65-653.66

Finding the Fourth Proportional to 1,026.06, 1,416.65 and 653.66

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Solution

The fourth proportional to 1,026.06, 1,416.65 and 653.66 is: 902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.06 : 1,416.65 = 653.66 : x
  2. Step 2: Convert to fraction form
    1,026.06/1,416.65 = 653.66/x
  3. Step 3: Cross multiply
    1,026.06x = 1,416.65 × 653.66
  4. Step 4: Simplify right side
    1,026.06x = 926,007.44
  5. Step 5: Solve for x
    x = 926,007.44/1,026.06
  6. Step 6: Final answer
    x = 902.49

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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.