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Finding the Fourth Proportional to 942.16, 1,298.73 and 693.76

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Solution

The fourth proportional to 942.16, 1,298.73 and 693.76 is: 956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.16 : 1,298.73 = 693.76 : x
  2. Step 2: Convert to fraction form
    942.16/1,298.73 = 693.76/x
  3. Step 3: Cross multiply
    942.16x = 1,298.73 × 693.76
  4. Step 4: Simplify right side
    942.16x = 901,006.92
  5. Step 5: Solve for x
    x = 901,006.92/942.16
  6. Step 6: Final answer
    x = 956.32

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1.5x scale

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.