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Finding the Fourth Proportional to 1,047.47, 1,570.70 and 631.43

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Solution

The fourth proportional to 1,047.47, 1,570.70 and 631.43 is: 946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,570.70 = 631.43 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,570.70 = 631.43/x
  3. Step 3: Cross multiply
    1,047.47x = 1,570.70 × 631.43
  4. Step 4: Simplify right side
    1,047.47x = 991,783.94
  5. Step 5: Solve for x
    x = 991,783.94/1,047.47
  6. Step 6: Final answer
    x = 946.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.