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Finding the Fourth Proportional to 1,047.09, 1,570.35 and 316.69

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Solution

The fourth proportional to 1,047.09, 1,570.35 and 316.69 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.09 : 1,570.35 = 316.69 : x
  2. Step 2: Convert to fraction form
    1,047.09/1,570.35 = 316.69/x
  3. Step 3: Cross multiply
    1,047.09x = 1,570.35 × 316.69
  4. Step 4: Simplify right side
    1,047.09x = 497,314.14
  5. Step 5: Solve for x
    x = 497,314.14/1,047.09
  6. Step 6: Final answer
    x = 474.95

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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.