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Finding the Fourth Proportional to 536.93, 740.78 and 340.40

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Solution

The fourth proportional to 536.93, 740.78 and 340.40 is: 469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.93 : 740.78 = 340.40 : x
  2. Step 2: Convert to fraction form
    536.93/740.78 = 340.40/x
  3. Step 3: Cross multiply
    536.93x = 740.78 × 340.40
  4. Step 4: Simplify right side
    536.93x = 252,162.94
  5. Step 5: Solve for x
    x = 252,162.94/536.93
  6. Step 6: Final answer
    x = 469.64

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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.