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Finding the Fourth Proportional to 1,090.06, 1,503.66 and 648.10

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Solution

The fourth proportional to 1,090.06, 1,503.66 and 648.10 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.06 : 1,503.66 = 648.10 : x
  2. Step 2: Convert to fraction form
    1,090.06/1,503.66 = 648.10/x
  3. Step 3: Cross multiply
    1,090.06x = 1,503.66 × 648.10
  4. Step 4: Simplify right side
    1,090.06x = 974,526.36
  5. Step 5: Solve for x
    x = 974,526.36/1,090.06
  6. Step 6: Final answer
    x = 894.01

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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.