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Finding the Fourth Proportional to 881.70, 1,215.78 and 602.10

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Solution

The fourth proportional to 881.70, 1,215.78 and 602.10 is: 830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,215.78 = 602.10 : x
  2. Step 2: Convert to fraction form
    881.70/1,215.78 = 602.10/x
  3. Step 3: Cross multiply
    881.70x = 1,215.78 × 602.10
  4. Step 4: Simplify right side
    881.70x = 732,021.14
  5. Step 5: Solve for x
    x = 732,021.14/881.70
  6. Step 6: Final answer
    x = 830.24

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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.