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Finding the Fourth Proportional to 1,065.20, 1,597.08 and 415.60

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Solution

The fourth proportional to 1,065.20, 1,597.08 and 415.60 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,597.08 = 415.60 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,597.08 = 415.60/x
  3. Step 3: Cross multiply
    1,065.20x = 1,597.08 × 415.60
  4. Step 4: Simplify right side
    1,065.20x = 663,746.45
  5. Step 5: Solve for x
    x = 663,746.45/1,065.20
  6. Step 6: Final answer
    x = 623.12

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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.