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Finding the Fourth Proportional to 1,019.70, 1,416.64 and 1,009.70

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Solution

The fourth proportional to 1,019.70, 1,416.64 and 1,009.70 is: 1,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,416.64 = 1,009.70 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,416.64 = 1,009.70/x
  3. Step 3: Cross multiply
    1,019.70x = 1,416.64 × 1,009.70
  4. Step 4: Simplify right side
    1,019.70x = 1,430,381.41
  5. Step 5: Solve for x
    x = 1,430,381.41/1,019.70
  6. Step 6: Final answer
    x = 1,402.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.