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Finding the Fourth Proportional to 970.59, 1,455.40 and 483.91

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Solution

The fourth proportional to 970.59, 1,455.40 and 483.91 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.59 : 1,455.40 = 483.91 : x
  2. Step 2: Convert to fraction form
    970.59/1,455.40 = 483.91/x
  3. Step 3: Cross multiply
    970.59x = 1,455.40 × 483.91
  4. Step 4: Simplify right side
    970.59x = 704,282.61
  5. Step 5: Solve for x
    x = 704,282.61/970.59
  6. Step 6: Final answer
    x = 725.62

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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.