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Finding the Fourth Proportional to 1,046.77, 1,570.16 and 316.31

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Solution

The fourth proportional to 1,046.77, 1,570.16 and 316.31 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.77 : 1,570.16 = 316.31 : x
  2. Step 2: Convert to fraction form
    1,046.77/1,570.16 = 316.31/x
  3. Step 3: Cross multiply
    1,046.77x = 1,570.16 × 316.31
  4. Step 4: Simplify right side
    1,046.77x = 496,656.91
  5. Step 5: Solve for x
    x = 496,656.91/1,046.77
  6. Step 6: Final answer
    x = 474.47

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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.