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Finding the Fourth Proportional to 907.02, 1,354.77 and 723.86

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Solution

The fourth proportional to 907.02, 1,354.77 and 723.86 is: 1,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.02 : 1,354.77 = 723.86 : x
  2. Step 2: Convert to fraction form
    907.02/1,354.77 = 723.86/x
  3. Step 3: Cross multiply
    907.02x = 1,354.77 × 723.86
  4. Step 4: Simplify right side
    907.02x = 980,663.81
  5. Step 5: Solve for x
    x = 980,663.81/907.02
  6. Step 6: Final answer
    x = 1,081.19

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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.