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Finding the Fourth Proportional to 560.42, 773.45 and 339.45

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Solution

The fourth proportional to 560.42, 773.45 and 339.45 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 773.45 = 339.45 : x
  2. Step 2: Convert to fraction form
    560.42/773.45 = 339.45/x
  3. Step 3: Cross multiply
    560.42x = 773.45 × 339.45
  4. Step 4: Simplify right side
    560.42x = 262,547.60
  5. Step 5: Solve for x
    x = 262,547.60/560.42
  6. Step 6: Final answer
    x = 468.48

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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.