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Finding the Fourth Proportional to 759.48, 1,047.39 and 479.40

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Solution

The fourth proportional to 759.48, 1,047.39 and 479.40 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.48 : 1,047.39 = 479.40 : x
  2. Step 2: Convert to fraction form
    759.48/1,047.39 = 479.40/x
  3. Step 3: Cross multiply
    759.48x = 1,047.39 × 479.40
  4. Step 4: Simplify right side
    759.48x = 502,118.77
  5. Step 5: Solve for x
    x = 502,118.77/759.48
  6. Step 6: Final answer
    x = 661.13

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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.