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Finding the Fourth Proportional to 1,011.76, 1,395.30 and 675.07

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Solution

The fourth proportional to 1,011.76, 1,395.30 and 675.07 is: 930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.76 : 1,395.30 = 675.07 : x
  2. Step 2: Convert to fraction form
    1,011.76/1,395.30 = 675.07/x
  3. Step 3: Cross multiply
    1,011.76x = 1,395.30 × 675.07
  4. Step 4: Simplify right side
    1,011.76x = 941,925.17
  5. Step 5: Solve for x
    x = 941,925.17/1,011.76
  6. Step 6: Final answer
    x = 930.98

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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.