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Finding the Fourth Proportional to 954.10, 1,430.34 and 520.84

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Solution

The fourth proportional to 954.10, 1,430.34 and 520.84 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.10 : 1,430.34 = 520.84 : x
  2. Step 2: Convert to fraction form
    954.10/1,430.34 = 520.84/x
  3. Step 3: Cross multiply
    954.10x = 1,430.34 × 520.84
  4. Step 4: Simplify right side
    954.10x = 744,978.29
  5. Step 5: Solve for x
    x = 744,978.29/954.10
  6. Step 6: Final answer
    x = 780.82

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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.