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Finding the Fourth Proportional to 899.04, 1,241.02 and 678.04

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Solution

The fourth proportional to 899.04, 1,241.02 and 678.04 is: 935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.04 : 1,241.02 = 678.04 : x
  2. Step 2: Convert to fraction form
    899.04/1,241.02 = 678.04/x
  3. Step 3: Cross multiply
    899.04x = 1,241.02 × 678.04
  4. Step 4: Simplify right side
    899.04x = 841,461.20
  5. Step 5: Solve for x
    x = 841,461.20/899.04
  6. Step 6: Final answer
    x = 935.96

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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.