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Finding the Fourth Proportional to 807.55, 1,114.55 and 586.42

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Solution

The fourth proportional to 807.55, 1,114.55 and 586.42 is: 809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.55 : 1,114.55 = 586.42 : x
  2. Step 2: Convert to fraction form
    807.55/1,114.55 = 586.42/x
  3. Step 3: Cross multiply
    807.55x = 1,114.55 × 586.42
  4. Step 4: Simplify right side
    807.55x = 653,594.41
  5. Step 5: Solve for x
    x = 653,594.41/807.55
  6. Step 6: Final answer
    x = 809.35

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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.