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Finding the Fourth Proportional to 1,068.76, 1,464.18 and 1,031.77

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Solution

The fourth proportional to 1,068.76, 1,464.18 and 1,031.77 is: 1,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.76 : 1,464.18 = 1,031.77 : x
  2. Step 2: Convert to fraction form
    1,068.76/1,464.18 = 1,031.77/x
  3. Step 3: Cross multiply
    1,068.76x = 1,464.18 × 1,031.77
  4. Step 4: Simplify right side
    1,068.76x = 1,510,697.00
  5. Step 5: Solve for x
    x = 1,510,697.00/1,068.76
  6. Step 6: Final answer
    x = 1,413.50

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