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Finding the Fourth Proportional to 684.89, 946.43 and 560.51

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Solution

The fourth proportional to 684.89, 946.43 and 560.51 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.89 : 946.43 = 560.51 : x
  2. Step 2: Convert to fraction form
    684.89/946.43 = 560.51/x
  3. Step 3: Cross multiply
    684.89x = 946.43 × 560.51
  4. Step 4: Simplify right side
    684.89x = 530,483.48
  5. Step 5: Solve for x
    x = 530,483.48/684.89
  6. Step 6: Final answer
    x = 774.55

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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.