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Finding the Fourth Proportional to 918.98, 1,268.16 and 526.00

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Solution

The fourth proportional to 918.98, 1,268.16 and 526.00 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.98 : 1,268.16 = 526.00 : x
  2. Step 2: Convert to fraction form
    918.98/1,268.16 = 526.00/x
  3. Step 3: Cross multiply
    918.98x = 1,268.16 × 526.00
  4. Step 4: Simplify right side
    918.98x = 667,043.19
  5. Step 5: Solve for x
    x = 667,043.19/918.98
  6. Step 6: Final answer
    x = 725.85

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Why These Related Problems?

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