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Finding the Fourth Proportional to 1,300.69, 1,952.22 and 607.77

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Solution

The fourth proportional to 1,300.69, 1,952.22 and 607.77 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.69 : 1,952.22 = 607.77 : x
  2. Step 2: Convert to fraction form
    1,300.69/1,952.22 = 607.77/x
  3. Step 3: Cross multiply
    1,300.69x = 1,952.22 × 607.77
  4. Step 4: Simplify right side
    1,300.69x = 1,186,503.03
  5. Step 5: Solve for x
    x = 1,186,503.03/1,300.69
  6. Step 6: Final answer
    x = 912.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.