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Finding the Fourth Proportional to 700.77, 964.93 and 553.35

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Solution

The fourth proportional to 700.77, 964.93 and 553.35 is: 761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.77 : 964.93 = 553.35 : x
  2. Step 2: Convert to fraction form
    700.77/964.93 = 553.35/x
  3. Step 3: Cross multiply
    700.77x = 964.93 × 553.35
  4. Step 4: Simplify right side
    700.77x = 533,944.02
  5. Step 5: Solve for x
    x = 533,944.02/700.77
  6. Step 6: Final answer
    x = 761.94

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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.