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Finding the Fourth Proportional to 954.14, 1,316.61 and 705.60

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Solution

The fourth proportional to 954.14, 1,316.61 and 705.60 is: 973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,316.61 = 705.60 : x
  2. Step 2: Convert to fraction form
    954.14/1,316.61 = 705.60/x
  3. Step 3: Cross multiply
    954.14x = 1,316.61 × 705.60
  4. Step 4: Simplify right side
    954.14x = 929,000.02
  5. Step 5: Solve for x
    x = 929,000.02/954.14
  6. Step 6: Final answer
    x = 973.65

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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.