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Finding the Fourth Proportional to 903.78, 1,247.20 and 530.78

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Solution

The fourth proportional to 903.78, 1,247.20 and 530.78 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,247.20 = 530.78 : x
  2. Step 2: Convert to fraction form
    903.78/1,247.20 = 530.78/x
  3. Step 3: Cross multiply
    903.78x = 1,247.20 × 530.78
  4. Step 4: Simplify right side
    903.78x = 661,981.25
  5. Step 5: Solve for x
    x = 661,981.25/903.78
  6. Step 6: Final answer
    x = 732.46

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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.