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Finding the Fourth Proportional to 948.15, 1,420.02 and 687.06

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Solution

The fourth proportional to 948.15, 1,420.02 and 687.06 is: 1,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.15 : 1,420.02 = 687.06 : x
  2. Step 2: Convert to fraction form
    948.15/1,420.02 = 687.06/x
  3. Step 3: Cross multiply
    948.15x = 1,420.02 × 687.06
  4. Step 4: Simplify right side
    948.15x = 975,638.94
  5. Step 5: Solve for x
    x = 975,638.94/948.15
  6. Step 6: Final answer
    x = 1,028.99

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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.