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Finding the Fourth Proportional to 973.47, 1,341.78 and 689.53

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Solution

The fourth proportional to 973.47, 1,341.78 and 689.53 is: 950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.47 : 1,341.78 = 689.53 : x
  2. Step 2: Convert to fraction form
    973.47/1,341.78 = 689.53/x
  3. Step 3: Cross multiply
    973.47x = 1,341.78 × 689.53
  4. Step 4: Simplify right side
    973.47x = 925,187.41
  5. Step 5: Solve for x
    x = 925,187.41/973.47
  6. Step 6: Final answer
    x = 950.40

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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.