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Finding the Fourth Proportional to 711.42, 1,060.28 and 710.34

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Solution

The fourth proportional to 711.42, 1,060.28 and 710.34 is: 1,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 1,060.28 = 710.34 : x
  2. Step 2: Convert to fraction form
    711.42/1,060.28 = 710.34/x
  3. Step 3: Cross multiply
    711.42x = 1,060.28 × 710.34
  4. Step 4: Simplify right side
    711.42x = 753,155.74
  5. Step 5: Solve for x
    x = 753,155.74/711.42
  6. Step 6: Final answer
    x = 1,058.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.