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Finding the Fourth Proportional to 1,021.04, 1,407.69 and 705.74

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Solution

The fourth proportional to 1,021.04, 1,407.69 and 705.74 is: 972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.04 : 1,407.69 = 705.74 : x
  2. Step 2: Convert to fraction form
    1,021.04/1,407.69 = 705.74/x
  3. Step 3: Cross multiply
    1,021.04x = 1,407.69 × 705.74
  4. Step 4: Simplify right side
    1,021.04x = 993,463.14
  5. Step 5: Solve for x
    x = 993,463.14/1,021.04
  6. Step 6: Final answer
    x = 972.99

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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.