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Finding the Fourth Proportional to 954.71, 1,317.53 and 561.66

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Solution

The fourth proportional to 954.71, 1,317.53 and 561.66 is: 775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.71 : 1,317.53 = 561.66 : x
  2. Step 2: Convert to fraction form
    954.71/1,317.53 = 561.66/x
  3. Step 3: Cross multiply
    954.71x = 1,317.53 × 561.66
  4. Step 4: Simplify right side
    954.71x = 740,003.90
  5. Step 5: Solve for x
    x = 740,003.90/954.71
  6. Step 6: Final answer
    x = 775.11

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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.