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Finding the Fourth Proportional to 917.04, 1,265.57 and 524.19

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Solution

The fourth proportional to 917.04, 1,265.57 and 524.19 is: 723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.04 : 1,265.57 = 524.19 : x
  2. Step 2: Convert to fraction form
    917.04/1,265.57 = 524.19/x
  3. Step 3: Cross multiply
    917.04x = 1,265.57 × 524.19
  4. Step 4: Simplify right side
    917.04x = 663,399.14
  5. Step 5: Solve for x
    x = 663,399.14/917.04
  6. Step 6: Final answer
    x = 723.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.