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Finding the Fourth Proportional to 883.74, 1,219.54 and 510.71

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Solution

The fourth proportional to 883.74, 1,219.54 and 510.71 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,219.54 = 510.71 : x
  2. Step 2: Convert to fraction form
    883.74/1,219.54 = 510.71/x
  3. Step 3: Cross multiply
    883.74x = 1,219.54 × 510.71
  4. Step 4: Simplify right side
    883.74x = 622,827.01
  5. Step 5: Solve for x
    x = 622,827.01/883.74
  6. Step 6: Final answer
    x = 704.77

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1.5x scale

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.