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Finding the Fourth Proportional to 661.48, 912.06 and 536.75

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Solution

The fourth proportional to 661.48, 912.06 and 536.75 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.48 : 912.06 = 536.75 : x
  2. Step 2: Convert to fraction form
    661.48/912.06 = 536.75/x
  3. Step 3: Cross multiply
    661.48x = 912.06 × 536.75
  4. Step 4: Simplify right side
    661.48x = 489,548.21
  5. Step 5: Solve for x
    x = 489,548.21/661.48
  6. Step 6: Final answer
    x = 740.08

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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.