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Finding the Fourth Proportional to 703.02, 1,048.77 and 683.16

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Solution

The fourth proportional to 703.02, 1,048.77 and 683.16 is: 1,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 1,048.77 = 683.16 : x
  2. Step 2: Convert to fraction form
    703.02/1,048.77 = 683.16/x
  3. Step 3: Cross multiply
    703.02x = 1,048.77 × 683.16
  4. Step 4: Simplify right side
    703.02x = 716,477.71
  5. Step 5: Solve for x
    x = 716,477.71/703.02
  6. Step 6: Final answer
    x = 1,019.14

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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.