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Finding the Fourth Proportional to 702.12, 1,047 and 619.50

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Solution

The fourth proportional to 702.12, 1,047 and 619.50 is: 923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 1,047 = 619.50 : x
  2. Step 2: Convert to fraction form
    702.12/1,047 = 619.50/x
  3. Step 3: Cross multiply
    702.12x = 1,047 × 619.50
  4. Step 4: Simplify right side
    702.12x = 648,616.50
  5. Step 5: Solve for x
    x = 648,616.50/702.12
  6. Step 6: Final answer
    x = 923.80

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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.