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Finding the Fourth Proportional to 975.04, 1,346.00 and 621.45

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Solution

The fourth proportional to 975.04, 1,346.00 and 621.45 is: 857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,346.00 = 621.45 : x
  2. Step 2: Convert to fraction form
    975.04/1,346.00 = 621.45/x
  3. Step 3: Cross multiply
    975.04x = 1,346.00 × 621.45
  4. Step 4: Simplify right side
    975.04x = 836,461.86
  5. Step 5: Solve for x
    x = 836,461.86/975.04
  6. Step 6: Final answer
    x = 857.88

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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.