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Finding the Fourth Proportional to 1,360.23, 1,877.10 and 770.91

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Solution

The fourth proportional to 1,360.23, 1,877.10 and 770.91 is: 1,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.23 : 1,877.10 = 770.91 : x
  2. Step 2: Convert to fraction form
    1,360.23/1,877.10 = 770.91/x
  3. Step 3: Cross multiply
    1,360.23x = 1,877.10 × 770.91
  4. Step 4: Simplify right side
    1,360.23x = 1,447,075.16
  5. Step 5: Solve for x
    x = 1,447,075.16/1,360.23
  6. Step 6: Final answer
    x = 1,063.85

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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.