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Finding the Fourth Proportional to 918.08, 1,264.06 and 777.90

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Solution

The fourth proportional to 918.08, 1,264.06 and 777.90 is: 1,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,264.06 = 777.90 : x
  2. Step 2: Convert to fraction form
    918.08/1,264.06 = 777.90/x
  3. Step 3: Cross multiply
    918.08x = 1,264.06 × 777.90
  4. Step 4: Simplify right side
    918.08x = 983,313.61
  5. Step 5: Solve for x
    x = 983,313.61/918.08
  6. Step 6: Final answer
    x = 1,071.05

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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.