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Finding the Fourth Proportional to 988.84, 1,473.95 and 957.40

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Solution

The fourth proportional to 988.84, 1,473.95 and 957.40 is: 1,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.84 : 1,473.95 = 957.40 : x
  2. Step 2: Convert to fraction form
    988.84/1,473.95 = 957.40/x
  3. Step 3: Cross multiply
    988.84x = 1,473.95 × 957.40
  4. Step 4: Simplify right side
    988.84x = 1,411,159.73
  5. Step 5: Solve for x
    x = 1,411,159.73/988.84
  6. Step 6: Final answer
    x = 1,427.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.