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Finding the Fourth Proportional to 1,146.90, 1,582 and 954.77

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Solution

The fourth proportional to 1,146.90, 1,582 and 954.77 is: 1,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.90 : 1,582 = 954.77 : x
  2. Step 2: Convert to fraction form
    1,146.90/1,582 = 954.77/x
  3. Step 3: Cross multiply
    1,146.90x = 1,582 × 954.77
  4. Step 4: Simplify right side
    1,146.90x = 1,510,446.14
  5. Step 5: Solve for x
    x = 1,510,446.14/1,146.90
  6. Step 6: Final answer
    x = 1,316.99

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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.