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Finding the Fourth Proportional to 730.37, 1,005.21 and 623.75

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Solution

The fourth proportional to 730.37, 1,005.21 and 623.75 is: 858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.37 : 1,005.21 = 623.75 : x
  2. Step 2: Convert to fraction form
    730.37/1,005.21 = 623.75/x
  3. Step 3: Cross multiply
    730.37x = 1,005.21 × 623.75
  4. Step 4: Simplify right side
    730.37x = 626,994.71
  5. Step 5: Solve for x
    x = 626,994.71/730.37
  6. Step 6: Final answer
    x = 858.47

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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.