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Finding the Fourth Proportional to 883.98, 1,219.68 and 510.90

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Solution

The fourth proportional to 883.98, 1,219.68 and 510.90 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,219.68 = 510.90 : x
  2. Step 2: Convert to fraction form
    883.98/1,219.68 = 510.90/x
  3. Step 3: Cross multiply
    883.98x = 1,219.68 × 510.90
  4. Step 4: Simplify right side
    883.98x = 623,134.51
  5. Step 5: Solve for x
    x = 623,134.51/883.98
  6. Step 6: Final answer
    x = 704.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.