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Finding the Fourth Proportional to 917.87, 1,264.48 and 777.53

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Solution

The fourth proportional to 917.87, 1,264.48 and 777.53 is: 1,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.87 : 1,264.48 = 777.53 : x
  2. Step 2: Convert to fraction form
    917.87/1,264.48 = 777.53/x
  3. Step 3: Cross multiply
    917.87x = 1,264.48 × 777.53
  4. Step 4: Simplify right side
    917.87x = 983,172.35
  5. Step 5: Solve for x
    x = 983,172.35/917.87
  6. Step 6: Final answer
    x = 1,071.15

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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.