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Finding the Fourth Proportional to 883.12, 1,218.78 and 510.02

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Solution

The fourth proportional to 883.12, 1,218.78 and 510.02 is: 703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,218.78 = 510.02 : x
  2. Step 2: Convert to fraction form
    883.12/1,218.78 = 510.02/x
  3. Step 3: Cross multiply
    883.12x = 1,218.78 × 510.02
  4. Step 4: Simplify right side
    883.12x = 621,602.18
  5. Step 5: Solve for x
    x = 621,602.18/883.12
  6. Step 6: Final answer
    x = 703.87

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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.