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Finding the Fourth Proportional to 1,053.91, 1,573.57 and 988.30

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Solution

The fourth proportional to 1,053.91, 1,573.57 and 988.30 is: 1,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.91 : 1,573.57 = 988.30 : x
  2. Step 2: Convert to fraction form
    1,053.91/1,573.57 = 988.30/x
  3. Step 3: Cross multiply
    1,053.91x = 1,573.57 × 988.30
  4. Step 4: Simplify right side
    1,053.91x = 1,555,146.42
  5. Step 5: Solve for x
    x = 1,555,146.42/1,053.91
  6. Step 6: Final answer
    x = 1,475.60

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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.