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Finding the Fourth Proportional to 560.16, 767.38 and 539.40

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Solution

The fourth proportional to 560.16, 767.38 and 539.40 is: 738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 767.38 = 539.40 : x
  2. Step 2: Convert to fraction form
    560.16/767.38 = 539.40/x
  3. Step 3: Cross multiply
    560.16x = 767.38 × 539.40
  4. Step 4: Simplify right side
    560.16x = 413,924.77
  5. Step 5: Solve for x
    x = 413,924.77/560.16
  6. Step 6: Final answer
    x = 738.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.