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Finding the Fourth Proportional to 956.51, 1,319.95 and 563.53

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Solution

The fourth proportional to 956.51, 1,319.95 and 563.53 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.51 : 1,319.95 = 563.53 : x
  2. Step 2: Convert to fraction form
    956.51/1,319.95 = 563.53/x
  3. Step 3: Cross multiply
    956.51x = 1,319.95 × 563.53
  4. Step 4: Simplify right side
    956.51x = 743,831.85
  5. Step 5: Solve for x
    x = 743,831.85/956.51
  6. Step 6: Final answer
    x = 777.65

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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.