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Finding the Fourth Proportional to 840.23, 1,160.49 and 560

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Solution

The fourth proportional to 840.23, 1,160.49 and 560 is: 773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.23 : 1,160.49 = 560 : x
  2. Step 2: Convert to fraction form
    840.23/1,160.49 = 560/x
  3. Step 3: Cross multiply
    840.23x = 1,160.49 × 560
  4. Step 4: Simplify right side
    840.23x = 649,871.60
  5. Step 5: Solve for x
    x = 649,871.60/840.23
  6. Step 6: Final answer
    x = 773.45

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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.