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Finding the Fourth Proportional to 746.25, 1,029.93 and 435.75

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Solution

The fourth proportional to 746.25, 1,029.93 and 435.75 is: 601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,029.93 = 435.75 : x
  2. Step 2: Convert to fraction form
    746.25/1,029.93 = 435.75/x
  3. Step 3: Cross multiply
    746.25x = 1,029.93 × 435.75
  4. Step 4: Simplify right side
    746.25x = 448,792.00
  5. Step 5: Solve for x
    x = 448,792.00/746.25
  6. Step 6: Final answer
    x = 601.40

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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.