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Finding the Fourth Proportional to 1,070.16, 1,477.15 and 992.25

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Solution

The fourth proportional to 1,070.16, 1,477.15 and 992.25 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.16 : 1,477.15 = 992.25 : x
  2. Step 2: Convert to fraction form
    1,070.16/1,477.15 = 992.25/x
  3. Step 3: Cross multiply
    1,070.16x = 1,477.15 × 992.25
  4. Step 4: Simplify right side
    1,070.16x = 1,465,689.74
  5. Step 5: Solve for x
    x = 1,465,689.74/1,070.16
  6. Step 6: Final answer
    x = 1,369.61

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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.