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Finding the Fourth Proportional to 714.45, 1,064.28 and 651.27

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Solution

The fourth proportional to 714.45, 1,064.28 and 651.27 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.45 : 1,064.28 = 651.27 : x
  2. Step 2: Convert to fraction form
    714.45/1,064.28 = 651.27/x
  3. Step 3: Cross multiply
    714.45x = 1,064.28 × 651.27
  4. Step 4: Simplify right side
    714.45x = 693,133.64
  5. Step 5: Solve for x
    x = 693,133.64/714.45
  6. Step 6: Final answer
    x = 970.16

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1.5x scale

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.