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Finding the Fourth Proportional to 476.88, 710.98 and 464.91

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Solution

The fourth proportional to 476.88, 710.98 and 464.91 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.88 : 710.98 = 464.91 : x
  2. Step 2: Convert to fraction form
    476.88/710.98 = 464.91/x
  3. Step 3: Cross multiply
    476.88x = 710.98 × 464.91
  4. Step 4: Simplify right side
    476.88x = 330,541.71
  5. Step 5: Solve for x
    x = 330,541.71/476.88
  6. Step 6: Final answer
    x = 693.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.