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Finding the Fourth Proportional to 807.42, 1,114.20 and 458.10

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Solution

The fourth proportional to 807.42, 1,114.20 and 458.10 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.42 : 1,114.20 = 458.10 : x
  2. Step 2: Convert to fraction form
    807.42/1,114.20 = 458.10/x
  3. Step 3: Cross multiply
    807.42x = 1,114.20 × 458.10
  4. Step 4: Simplify right side
    807.42x = 510,415.02
  5. Step 5: Solve for x
    x = 510,415.02/807.42
  6. Step 6: Final answer
    x = 632.16

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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.