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Finding the Fourth Proportional to 714.26, 986.13 and 465.98

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Solution

The fourth proportional to 714.26, 986.13 and 465.98 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.26 : 986.13 = 465.98 : x
  2. Step 2: Convert to fraction form
    714.26/986.13 = 465.98/x
  3. Step 3: Cross multiply
    714.26x = 986.13 × 465.98
  4. Step 4: Simplify right side
    714.26x = 459,516.86
  5. Step 5: Solve for x
    x = 459,516.86/714.26
  6. Step 6: Final answer
    x = 643.35

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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.