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Finding the Fourth Proportional to 530.45, 732.42 and 390.77

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Solution

The fourth proportional to 530.45, 732.42 and 390.77 is: 539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 732.42 = 390.77 : x
  2. Step 2: Convert to fraction form
    530.45/732.42 = 390.77/x
  3. Step 3: Cross multiply
    530.45x = 732.42 × 390.77
  4. Step 4: Simplify right side
    530.45x = 286,209.87
  5. Step 5: Solve for x
    x = 286,209.87/530.45
  6. Step 6: Final answer
    x = 539.56

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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.