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Finding the Fourth Proportional to 910.04, 1,360.40 and 678.78

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Solution

The fourth proportional to 910.04, 1,360.40 and 678.78 is: 1,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,360.40 = 678.78 : x
  2. Step 2: Convert to fraction form
    910.04/1,360.40 = 678.78/x
  3. Step 3: Cross multiply
    910.04x = 1,360.40 × 678.78
  4. Step 4: Simplify right side
    910.04x = 923,408.92
  5. Step 5: Solve for x
    x = 923,408.92/910.04
  6. Step 6: Final answer
    x = 1,014.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.