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Finding the Fourth Proportional to 954.95, 1,317.87 and 561.83

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Solution

The fourth proportional to 954.95, 1,317.87 and 561.83 is: 775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.95 : 1,317.87 = 561.83 : x
  2. Step 2: Convert to fraction form
    954.95/1,317.87 = 561.83/x
  3. Step 3: Cross multiply
    954.95x = 1,317.87 × 561.83
  4. Step 4: Simplify right side
    954.95x = 740,412.31
  5. Step 5: Solve for x
    x = 740,412.31/954.95
  6. Step 6: Final answer
    x = 775.35

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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.