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Finding the Fourth Proportional to 560.52, 773.38 and 412.89

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Solution

The fourth proportional to 560.52, 773.38 and 412.89 is: 569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.52 : 773.38 = 412.89 : x
  2. Step 2: Convert to fraction form
    560.52/773.38 = 412.89/x
  3. Step 3: Cross multiply
    560.52x = 773.38 × 412.89
  4. Step 4: Simplify right side
    560.52x = 319,320.87
  5. Step 5: Solve for x
    x = 319,320.87/560.52
  6. Step 6: Final answer
    x = 569.69

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1.5x scale

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.