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Finding the Fourth Proportional to 1,012.35, 1,397.68 and 697.51

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Solution

The fourth proportional to 1,012.35, 1,397.68 and 697.51 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.35 : 1,397.68 = 697.51 : x
  2. Step 2: Convert to fraction form
    1,012.35/1,397.68 = 697.51/x
  3. Step 3: Cross multiply
    1,012.35x = 1,397.68 × 697.51
  4. Step 4: Simplify right side
    1,012.35x = 974,897.74
  5. Step 5: Solve for x
    x = 974,897.74/1,012.35
  6. Step 6: Final answer
    x = 963.01

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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.