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Finding the Fourth Proportional to 1,068.76, 1,475.20 and 676.01

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Solution

The fourth proportional to 1,068.76, 1,475.20 and 676.01 is: 933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.76 : 1,475.20 = 676.01 : x
  2. Step 2: Convert to fraction form
    1,068.76/1,475.20 = 676.01/x
  3. Step 3: Cross multiply
    1,068.76x = 1,475.20 × 676.01
  4. Step 4: Simplify right side
    1,068.76x = 997,254.49
  5. Step 5: Solve for x
    x = 997,254.49/1,068.76
  6. Step 6: Final answer
    x = 933.09

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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.