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Finding the Fourth Proportional to 954.74, 1,317.42 and 561.76

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Solution

The fourth proportional to 954.74, 1,317.42 and 561.76 is: 775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.74 : 1,317.42 = 561.76 : x
  2. Step 2: Convert to fraction form
    954.74/1,317.42 = 561.76/x
  3. Step 3: Cross multiply
    954.74x = 1,317.42 × 561.76
  4. Step 4: Simplify right side
    954.74x = 740,070.57
  5. Step 5: Solve for x
    x = 740,070.57/954.74
  6. Step 6: Final answer
    x = 775.15

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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.