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Finding the Fourth Proportional to 1,474.70, 2,036.06 and 915.99

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Solution

The fourth proportional to 1,474.70, 2,036.06 and 915.99 is: 1,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.70 : 2,036.06 = 915.99 : x
  2. Step 2: Convert to fraction form
    1,474.70/2,036.06 = 915.99/x
  3. Step 3: Cross multiply
    1,474.70x = 2,036.06 × 915.99
  4. Step 4: Simplify right side
    1,474.70x = 1,865,006.02
  5. Step 5: Solve for x
    x = 1,865,006.02/1,474.70
  6. Step 6: Final answer
    x = 1,264.67

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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.