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Finding the Fourth Proportional to 883.08, 1,218.59 and 509.99

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Solution

The fourth proportional to 883.08, 1,218.59 and 509.99 is: 703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.08 : 1,218.59 = 509.99 : x
  2. Step 2: Convert to fraction form
    883.08/1,218.59 = 509.99/x
  3. Step 3: Cross multiply
    883.08x = 1,218.59 × 509.99
  4. Step 4: Simplify right side
    883.08x = 621,460.07
  5. Step 5: Solve for x
    x = 621,460.07/883.08
  6. Step 6: Final answer
    x = 703.74

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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.