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Finding the Fourth Proportional to 1,300.32, 1,951.20 and 530.88

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Solution

The fourth proportional to 1,300.32, 1,951.20 and 530.88 is: 796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.32 : 1,951.20 = 530.88 : x
  2. Step 2: Convert to fraction form
    1,300.32/1,951.20 = 530.88/x
  3. Step 3: Cross multiply
    1,300.32x = 1,951.20 × 530.88
  4. Step 4: Simplify right side
    1,300.32x = 1,035,853.06
  5. Step 5: Solve for x
    x = 1,035,853.06/1,300.32
  6. Step 6: Final answer
    x = 796.61

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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.