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Finding the Fourth Proportional to 730.60, 1,007.86 and 435.80

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Solution

The fourth proportional to 730.60, 1,007.86 and 435.80 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,007.86 = 435.80 : x
  2. Step 2: Convert to fraction form
    730.60/1,007.86 = 435.80/x
  3. Step 3: Cross multiply
    730.60x = 1,007.86 × 435.80
  4. Step 4: Simplify right side
    730.60x = 439,225.39
  5. Step 5: Solve for x
    x = 439,225.39/730.60
  6. Step 6: Final answer
    x = 601.18

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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.