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Finding the Fourth Proportional to 1,064.78, 1,597.36 and 362.05

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Solution

The fourth proportional to 1,064.78, 1,597.36 and 362.05 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.78 : 1,597.36 = 362.05 : x
  2. Step 2: Convert to fraction form
    1,064.78/1,597.36 = 362.05/x
  3. Step 3: Cross multiply
    1,064.78x = 1,597.36 × 362.05
  4. Step 4: Simplify right side
    1,064.78x = 578,326.78
  5. Step 5: Solve for x
    x = 578,326.78/1,064.78
  6. Step 6: Final answer
    x = 543.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.