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Finding the Fourth Proportional to 953.07, 1,430.10 and 723.39

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Solution

The fourth proportional to 953.07, 1,430.10 and 723.39 is: 1,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.07 : 1,430.10 = 723.39 : x
  2. Step 2: Convert to fraction form
    953.07/1,430.10 = 723.39/x
  3. Step 3: Cross multiply
    953.07x = 1,430.10 × 723.39
  4. Step 4: Simplify right side
    953.07x = 1,034,520.04
  5. Step 5: Solve for x
    x = 1,034,520.04/953.07
  6. Step 6: Final answer
    x = 1,085.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.