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Finding the Fourth Proportional to 953.60, 1,315.58 and 580.44

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Solution

The fourth proportional to 953.60, 1,315.58 and 580.44 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.60 : 1,315.58 = 580.44 : x
  2. Step 2: Convert to fraction form
    953.60/1,315.58 = 580.44/x
  3. Step 3: Cross multiply
    953.60x = 1,315.58 × 580.44
  4. Step 4: Simplify right side
    953.60x = 763,616.71
  5. Step 5: Solve for x
    x = 763,616.71/953.60
  6. Step 6: Final answer
    x = 800.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.