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Finding the Fourth Proportional to 1,341.07, 2,010.94 and 560.84

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Solution

The fourth proportional to 1,341.07, 2,010.94 and 560.84 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.07 : 2,010.94 = 560.84 : x
  2. Step 2: Convert to fraction form
    1,341.07/2,010.94 = 560.84/x
  3. Step 3: Cross multiply
    1,341.07x = 2,010.94 × 560.84
  4. Step 4: Simplify right side
    1,341.07x = 1,127,802.73
  5. Step 5: Solve for x
    x = 1,127,802.73/1,341.07
  6. Step 6: Final answer
    x = 840.98

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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.