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Finding the Fourth Proportional to 730.51, 1,007.53 and 468.55

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Solution

The fourth proportional to 730.51, 1,007.53 and 468.55 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.51 : 1,007.53 = 468.55 : x
  2. Step 2: Convert to fraction form
    730.51/1,007.53 = 468.55/x
  3. Step 3: Cross multiply
    730.51x = 1,007.53 × 468.55
  4. Step 4: Simplify right side
    730.51x = 472,078.18
  5. Step 5: Solve for x
    x = 472,078.18/730.51
  6. Step 6: Final answer
    x = 646.23

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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.