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Finding the Fourth Proportional to 777.19, 1,071.99 and 553.07

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Solution

The fourth proportional to 777.19, 1,071.99 and 553.07 is: 762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.19 : 1,071.99 = 553.07 : x
  2. Step 2: Convert to fraction form
    777.19/1,071.99 = 553.07/x
  3. Step 3: Cross multiply
    777.19x = 1,071.99 × 553.07
  4. Step 4: Simplify right side
    777.19x = 592,885.51
  5. Step 5: Solve for x
    x = 592,885.51/777.19
  6. Step 6: Final answer
    x = 762.86

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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.