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Finding the Fourth Proportional to 554.65, 765.45 and 510.00

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Solution

The fourth proportional to 554.65, 765.45 and 510.00 is: 703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.65 : 765.45 = 510.00 : x
  2. Step 2: Convert to fraction form
    554.65/765.45 = 510.00/x
  3. Step 3: Cross multiply
    554.65x = 765.45 × 510.00
  4. Step 4: Simplify right side
    554.65x = 390,376.63
  5. Step 5: Solve for x
    x = 390,376.63/554.65
  6. Step 6: Final answer
    x = 703.83

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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.