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Finding the Fourth Proportional to 776.37, 1,071.50 and 710.76

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Solution

The fourth proportional to 776.37, 1,071.50 and 710.76 is: 980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.37 : 1,071.50 = 710.76 : x
  2. Step 2: Convert to fraction form
    776.37/1,071.50 = 710.76/x
  3. Step 3: Cross multiply
    776.37x = 1,071.50 × 710.76
  4. Step 4: Simplify right side
    776.37x = 761,579.34
  5. Step 5: Solve for x
    x = 761,579.34/776.37
  6. Step 6: Final answer
    x = 980.95

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1.5x scale

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.