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Finding the Fourth Proportional to 1,020.46, 1,407.63 and 705.82

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Solution

The fourth proportional to 1,020.46, 1,407.63 and 705.82 is: 973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.46 : 1,407.63 = 705.82 : x
  2. Step 2: Convert to fraction form
    1,020.46/1,407.63 = 705.82/x
  3. Step 3: Cross multiply
    1,020.46x = 1,407.63 × 705.82
  4. Step 4: Simplify right side
    1,020.46x = 993,533.41
  5. Step 5: Solve for x
    x = 993,533.41/1,020.46
  6. Step 6: Final answer
    x = 973.61

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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.