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Finding the Fourth Proportional to 900.49, 1,242.83 and 507.55

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Solution

The fourth proportional to 900.49, 1,242.83 and 507.55 is: 700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.49 : 1,242.83 = 507.55 : x
  2. Step 2: Convert to fraction form
    900.49/1,242.83 = 507.55/x
  3. Step 3: Cross multiply
    900.49x = 1,242.83 × 507.55
  4. Step 4: Simplify right side
    900.49x = 630,798.37
  5. Step 5: Solve for x
    x = 630,798.37/900.49
  6. Step 6: Final answer
    x = 700.51

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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.