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Finding the Fourth Proportional to 711.58, 981.70 and 525.51

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Solution

The fourth proportional to 711.58, 981.70 and 525.51 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.58 : 981.70 = 525.51 : x
  2. Step 2: Convert to fraction form
    711.58/981.70 = 525.51/x
  3. Step 3: Cross multiply
    711.58x = 981.70 × 525.51
  4. Step 4: Simplify right side
    711.58x = 515,885.63
  5. Step 5: Solve for x
    x = 515,885.63/711.58
  6. Step 6: Final answer
    x = 724.99

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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.