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Finding the Fourth Proportional to 530.46, 731.55 and 420.20

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Solution

The fourth proportional to 530.46, 731.55 and 420.20 is: 579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.46 : 731.55 = 420.20 : x
  2. Step 2: Convert to fraction form
    530.46/731.55 = 420.20/x
  3. Step 3: Cross multiply
    530.46x = 731.55 × 420.20
  4. Step 4: Simplify right side
    530.46x = 307,393.65
  5. Step 5: Solve for x
    x = 307,393.65/530.46
  6. Step 6: Final answer
    x = 579.49

Related Problems

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Double scale
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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.