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Finding the Fourth Proportional to 900.64, 1,242.76 and 507.60

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Solution

The fourth proportional to 900.64, 1,242.76 and 507.60 is: 700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.64 : 1,242.76 = 507.60 : x
  2. Step 2: Convert to fraction form
    900.64/1,242.76 = 507.60/x
  3. Step 3: Cross multiply
    900.64x = 1,242.76 × 507.60
  4. Step 4: Simplify right side
    900.64x = 630,824.98
  5. Step 5: Solve for x
    x = 630,824.98/900.64
  6. Step 6: Final answer
    x = 700.42

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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.