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Finding the Fourth Proportional to 702.94, 1,054.50 and 472.06

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Solution

The fourth proportional to 702.94, 1,054.50 and 472.06 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.94 : 1,054.50 = 472.06 : x
  2. Step 2: Convert to fraction form
    702.94/1,054.50 = 472.06/x
  3. Step 3: Cross multiply
    702.94x = 1,054.50 × 472.06
  4. Step 4: Simplify right side
    702.94x = 497,787.27
  5. Step 5: Solve for x
    x = 497,787.27/702.94
  6. Step 6: Final answer
    x = 708.15

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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.