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Finding the Fourth Proportional to 1,026.70, 1,416.25 and 653.02

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Solution

The fourth proportional to 1,026.70, 1,416.25 and 653.02 is: 900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,416.25 = 653.02 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,416.25 = 653.02/x
  3. Step 3: Cross multiply
    1,026.70x = 1,416.25 × 653.02
  4. Step 4: Simplify right side
    1,026.70x = 924,839.58
  5. Step 5: Solve for x
    x = 924,839.58/1,026.70
  6. Step 6: Final answer
    x = 900.79

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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.