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Finding the Fourth Proportional to 706.40, 1,060.54 and 604.32

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Solution

The fourth proportional to 706.40, 1,060.54 and 604.32 is: 907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.40 : 1,060.54 = 604.32 : x
  2. Step 2: Convert to fraction form
    706.40/1,060.54 = 604.32/x
  3. Step 3: Cross multiply
    706.40x = 1,060.54 × 604.32
  4. Step 4: Simplify right side
    706.40x = 640,905.53
  5. Step 5: Solve for x
    x = 640,905.53/706.40
  6. Step 6: Final answer
    x = 907.28

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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.