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Finding the Fourth Proportional to 730.04, 1,007.64 and 450.51

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Solution

The fourth proportional to 730.04, 1,007.64 and 450.51 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,007.64 = 450.51 : x
  2. Step 2: Convert to fraction form
    730.04/1,007.64 = 450.51/x
  3. Step 3: Cross multiply
    730.04x = 1,007.64 × 450.51
  4. Step 4: Simplify right side
    730.04x = 453,951.90
  5. Step 5: Solve for x
    x = 453,951.90/730.04
  6. Step 6: Final answer
    x = 621.82

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1.5x scale

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.