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Finding the Fourth Proportional to 702.19, 1,051.30 and 393.49

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Solution

The fourth proportional to 702.19, 1,051.30 and 393.49 is: 589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.19 : 1,051.30 = 393.49 : x
  2. Step 2: Convert to fraction form
    702.19/1,051.30 = 393.49/x
  3. Step 3: Cross multiply
    702.19x = 1,051.30 × 393.49
  4. Step 4: Simplify right side
    702.19x = 413,676.04
  5. Step 5: Solve for x
    x = 413,676.04/702.19
  6. Step 6: Final answer
    x = 589.12

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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.