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Finding the Fourth Proportional to 711.77, 981.59 and 601.47

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Solution

The fourth proportional to 711.77, 981.59 and 601.47 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.77 : 981.59 = 601.47 : x
  2. Step 2: Convert to fraction form
    711.77/981.59 = 601.47/x
  3. Step 3: Cross multiply
    711.77x = 981.59 × 601.47
  4. Step 4: Simplify right side
    711.77x = 590,393.93
  5. Step 5: Solve for x
    x = 590,393.93/711.77
  6. Step 6: Final answer
    x = 829.48

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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.