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Finding the Fourth Proportional to 457.84, 623.36 and 456.40

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Solution

The fourth proportional to 457.84, 623.36 and 456.40 is: 621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 623.36 = 456.40 : x
  2. Step 2: Convert to fraction form
    457.84/623.36 = 456.40/x
  3. Step 3: Cross multiply
    457.84x = 623.36 × 456.40
  4. Step 4: Simplify right side
    457.84x = 284,501.50
  5. Step 5: Solve for x
    x = 284,501.50/457.84
  6. Step 6: Final answer
    x = 621.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.