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Finding the Fourth Proportional to 1,021.02, 1,408.59 and 710.70

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Solution

The fourth proportional to 1,021.02, 1,408.59 and 710.70 is: 980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.02 : 1,408.59 = 710.70 : x
  2. Step 2: Convert to fraction form
    1,021.02/1,408.59 = 710.70/x
  3. Step 3: Cross multiply
    1,021.02x = 1,408.59 × 710.70
  4. Step 4: Simplify right side
    1,021.02x = 1,001,084.91
  5. Step 5: Solve for x
    x = 1,001,084.91/1,021.02
  6. Step 6: Final answer
    x = 980.48

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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.