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Finding the Fourth Proportional to 1,300.25, 1,950.69 and 530.75

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Solution

The fourth proportional to 1,300.25, 1,950.69 and 530.75 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.25 : 1,950.69 = 530.75 : x
  2. Step 2: Convert to fraction form
    1,300.25/1,950.69 = 530.75/x
  3. Step 3: Cross multiply
    1,300.25x = 1,950.69 × 530.75
  4. Step 4: Simplify right side
    1,300.25x = 1,035,328.72
  5. Step 5: Solve for x
    x = 1,035,328.72/1,300.25
  6. Step 6: Final answer
    x = 796.25

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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.