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Finding the Fourth Proportional to 954.83, 1,430.28 and 875.10

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Solution

The fourth proportional to 954.83, 1,430.28 and 875.10 is: 1,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.83 : 1,430.28 = 875.10 : x
  2. Step 2: Convert to fraction form
    954.83/1,430.28 = 875.10/x
  3. Step 3: Cross multiply
    954.83x = 1,430.28 × 875.10
  4. Step 4: Simplify right side
    954.83x = 1,251,638.03
  5. Step 5: Solve for x
    x = 1,251,638.03/954.83
  6. Step 6: Final answer
    x = 1,310.86

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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.