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Finding the Fourth Proportional to 970.71, 1,455.18 and 580.83

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Solution

The fourth proportional to 970.71, 1,455.18 and 580.83 is: 870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.71 : 1,455.18 = 580.83 : x
  2. Step 2: Convert to fraction form
    970.71/1,455.18 = 580.83/x
  3. Step 3: Cross multiply
    970.71x = 1,455.18 × 580.83
  4. Step 4: Simplify right side
    970.71x = 845,212.20
  5. Step 5: Solve for x
    x = 845,212.20/970.71
  6. Step 6: Final answer
    x = 870.72

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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.