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Finding the Fourth Proportional to 954.78, 1,317.29 and 561.53

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Solution

The fourth proportional to 954.78, 1,317.29 and 561.53 is: 774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,317.29 = 561.53 : x
  2. Step 2: Convert to fraction form
    954.78/1,317.29 = 561.53/x
  3. Step 3: Cross multiply
    954.78x = 1,317.29 × 561.53
  4. Step 4: Simplify right side
    954.78x = 739,688.46
  5. Step 5: Solve for x
    x = 739,688.46/954.78
  6. Step 6: Final answer
    x = 774.72

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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.