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Finding the Fourth Proportional to 949.73, 1,417.10 and 918.14

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Solution

The fourth proportional to 949.73, 1,417.10 and 918.14 is: 1,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.73 : 1,417.10 = 918.14 : x
  2. Step 2: Convert to fraction form
    949.73/1,417.10 = 918.14/x
  3. Step 3: Cross multiply
    949.73x = 1,417.10 × 918.14
  4. Step 4: Simplify right side
    949.73x = 1,301,084.52
  5. Step 5: Solve for x
    x = 1,301,084.52/949.73
  6. Step 6: Final answer
    x = 1,369.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.