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Finding the Fourth Proportional to 1,056.32, 1,586.40 and 480.32

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Solution

The fourth proportional to 1,056.32, 1,586.40 and 480.32 is: 721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.32 : 1,586.40 = 480.32 : x
  2. Step 2: Convert to fraction form
    1,056.32/1,586.40 = 480.32/x
  3. Step 3: Cross multiply
    1,056.32x = 1,586.40 × 480.32
  4. Step 4: Simplify right side
    1,056.32x = 761,979.65
  5. Step 5: Solve for x
    x = 761,979.65/1,056.32
  6. Step 6: Final answer
    x = 721.35

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Why These Related Problems?

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