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Finding the Fourth Proportional to 858.75, 1,185.28 and 509.64

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Solution

The fourth proportional to 858.75, 1,185.28 and 509.64 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.75 : 1,185.28 = 509.64 : x
  2. Step 2: Convert to fraction form
    858.75/1,185.28 = 509.64/x
  3. Step 3: Cross multiply
    858.75x = 1,185.28 × 509.64
  4. Step 4: Simplify right side
    858.75x = 604,066.10
  5. Step 5: Solve for x
    x = 604,066.10/858.75
  6. Step 6: Final answer
    x = 703.42

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Double scale
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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.