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Finding the Fourth Proportional to 702.36, 1,051.92 and 678.06

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Solution

The fourth proportional to 702.36, 1,051.92 and 678.06 is: 1,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 1,051.92 = 678.06 : x
  2. Step 2: Convert to fraction form
    702.36/1,051.92 = 678.06/x
  3. Step 3: Cross multiply
    702.36x = 1,051.92 × 678.06
  4. Step 4: Simplify right side
    702.36x = 713,264.88
  5. Step 5: Solve for x
    x = 713,264.88/702.36
  6. Step 6: Final answer
    x = 1,015.53

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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.