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Finding the Fourth Proportional to 1,434.95, 1,980.54 and 845.67

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Solution

The fourth proportional to 1,434.95, 1,980.54 and 845.67 is: 1,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.95 : 1,980.54 = 845.67 : x
  2. Step 2: Convert to fraction form
    1,434.95/1,980.54 = 845.67/x
  3. Step 3: Cross multiply
    1,434.95x = 1,980.54 × 845.67
  4. Step 4: Simplify right side
    1,434.95x = 1,674,883.26
  5. Step 5: Solve for x
    x = 1,674,883.26/1,434.95
  6. Step 6: Final answer
    x = 1,167.21

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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.