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Finding the Fourth Proportional to 954.69, 1,317.44 and 561.98

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Solution

The fourth proportional to 954.69, 1,317.44 and 561.98 is: 775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,317.44 = 561.98 : x
  2. Step 2: Convert to fraction form
    954.69/1,317.44 = 561.98/x
  3. Step 3: Cross multiply
    954.69x = 1,317.44 × 561.98
  4. Step 4: Simplify right side
    954.69x = 740,365.53
  5. Step 5: Solve for x
    x = 740,365.53/954.69
  6. Step 6: Final answer
    x = 775.50

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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.