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Finding the Fourth Proportional to 678.54, 1,018.29 and 435.18

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Solution

The fourth proportional to 678.54, 1,018.29 and 435.18 is: 653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 1,018.29 = 435.18 : x
  2. Step 2: Convert to fraction form
    678.54/1,018.29 = 435.18/x
  3. Step 3: Cross multiply
    678.54x = 1,018.29 × 435.18
  4. Step 4: Simplify right side
    678.54x = 443,139.44
  5. Step 5: Solve for x
    x = 443,139.44/678.54
  6. Step 6: Final answer
    x = 653.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.