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Finding the Fourth Proportional to 623.54, 859.86 and 535.34

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Solution

The fourth proportional to 623.54, 859.86 and 535.34 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 859.86 = 535.34 : x
  2. Step 2: Convert to fraction form
    623.54/859.86 = 535.34/x
  3. Step 3: Cross multiply
    623.54x = 859.86 × 535.34
  4. Step 4: Simplify right side
    623.54x = 460,317.45
  5. Step 5: Solve for x
    x = 460,317.45/623.54
  6. Step 6: Final answer
    x = 738.23

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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.