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Finding the Fourth Proportional to 530.76, 795.45 and 392.70

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Solution

The fourth proportional to 530.76, 795.45 and 392.70 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 795.45 = 392.70 : x
  2. Step 2: Convert to fraction form
    530.76/795.45 = 392.70/x
  3. Step 3: Cross multiply
    530.76x = 795.45 × 392.70
  4. Step 4: Simplify right side
    530.76x = 312,373.22
  5. Step 5: Solve for x
    x = 312,373.22/530.76
  6. Step 6: Final answer
    x = 588.54

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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.