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Finding the Fourth Proportional to 530.21, 795.54 and 286.45

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Solution

The fourth proportional to 530.21, 795.54 and 286.45 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.21 : 795.54 = 286.45 : x
  2. Step 2: Convert to fraction form
    530.21/795.54 = 286.45/x
  3. Step 3: Cross multiply
    530.21x = 795.54 × 286.45
  4. Step 4: Simplify right side
    530.21x = 227,877.02
  5. Step 5: Solve for x
    x = 227,877.02/530.21
  6. Step 6: Final answer
    x = 429.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.