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Finding the Fourth Proportional to 1,087.15, 1,500.23 and 602.06

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Solution

The fourth proportional to 1,087.15, 1,500.23 and 602.06 is: 830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.15 : 1,500.23 = 602.06 : x
  2. Step 2: Convert to fraction form
    1,087.15/1,500.23 = 602.06/x
  3. Step 3: Cross multiply
    1,087.15x = 1,500.23 × 602.06
  4. Step 4: Simplify right side
    1,087.15x = 903,220.97
  5. Step 5: Solve for x
    x = 903,220.97/1,087.15
  6. Step 6: Final answer
    x = 830.82

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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.