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Finding the Fourth Proportional to 530.84, 730.76 and 456.72

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Solution

The fourth proportional to 530.84, 730.76 and 456.72 is: 628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.84 : 730.76 = 456.72 : x
  2. Step 2: Convert to fraction form
    530.84/730.76 = 456.72/x
  3. Step 3: Cross multiply
    530.84x = 730.76 × 456.72
  4. Step 4: Simplify right side
    530.84x = 333,750.42
  5. Step 5: Solve for x
    x = 333,750.42/530.84
  6. Step 6: Final answer
    x = 628.73

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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.