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Finding the Fourth Proportional to 706.63, 1,054.35 and 702.55

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Solution

The fourth proportional to 706.63, 1,054.35 and 702.55 is: 1,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.63 : 1,054.35 = 702.55 : x
  2. Step 2: Convert to fraction form
    706.63/1,054.35 = 702.55/x
  3. Step 3: Cross multiply
    706.63x = 1,054.35 × 702.55
  4. Step 4: Simplify right side
    706.63x = 740,733.59
  5. Step 5: Solve for x
    x = 740,733.59/706.63
  6. Step 6: Final answer
    x = 1,048.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.