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Finding the Fourth Proportional to 1,277.23, 1,762.53 and 710.05

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Solution

The fourth proportional to 1,277.23, 1,762.53 and 710.05 is: 979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.23 : 1,762.53 = 710.05 : x
  2. Step 2: Convert to fraction form
    1,277.23/1,762.53 = 710.05/x
  3. Step 3: Cross multiply
    1,277.23x = 1,762.53 × 710.05
  4. Step 4: Simplify right side
    1,277.23x = 1,251,484.43
  5. Step 5: Solve for x
    x = 1,251,484.43/1,277.23
  6. Step 6: Final answer
    x = 979.84

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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.