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Finding the Fourth Proportional to 1,045.40, 1,568.64 and 558.60

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Solution

The fourth proportional to 1,045.40, 1,568.64 and 558.60 is: 838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.40 : 1,568.64 = 558.60 : x
  2. Step 2: Convert to fraction form
    1,045.40/1,568.64 = 558.60/x
  3. Step 3: Cross multiply
    1,045.40x = 1,568.64 × 558.60
  4. Step 4: Simplify right side
    1,045.40x = 876,242.30
  5. Step 5: Solve for x
    x = 876,242.30/1,045.40
  6. Step 6: Final answer
    x = 838.19

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1.5x scale

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.