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Finding the Fourth Proportional to 1,265.08, 1,897.81 and 534.66

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Solution

The fourth proportional to 1,265.08, 1,897.81 and 534.66 is: 802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.08 : 1,897.81 = 534.66 : x
  2. Step 2: Convert to fraction form
    1,265.08/1,897.81 = 534.66/x
  3. Step 3: Cross multiply
    1,265.08x = 1,897.81 × 534.66
  4. Step 4: Simplify right side
    1,265.08x = 1,014,673.61
  5. Step 5: Solve for x
    x = 1,014,673.61/1,265.08
  6. Step 6: Final answer
    x = 802.07

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