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Finding the Fourth Proportional to 954.80, 1,307.75 and 898.76

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Solution

The fourth proportional to 954.80, 1,307.75 and 898.76 is: 1,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.80 : 1,307.75 = 898.76 : x
  2. Step 2: Convert to fraction form
    954.80/1,307.75 = 898.76/x
  3. Step 3: Cross multiply
    954.80x = 1,307.75 × 898.76
  4. Step 4: Simplify right side
    954.80x = 1,175,358.91
  5. Step 5: Solve for x
    x = 1,175,358.91/954.80
  6. Step 6: Final answer
    x = 1,231.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.