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Finding the Fourth Proportional to 1,007.66, 1,390.62 and 587.95

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Solution

The fourth proportional to 1,007.66, 1,390.62 and 587.95 is: 811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,390.62 = 587.95 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,390.62 = 587.95/x
  3. Step 3: Cross multiply
    1,007.66x = 1,390.62 × 587.95
  4. Step 4: Simplify right side
    1,007.66x = 817,605.14
  5. Step 5: Solve for x
    x = 817,605.14/1,007.66
  6. Step 6: Final answer
    x = 811.39

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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.