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Finding the Fourth Proportional to 707.48, 974.25 and 510.65

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Solution

The fourth proportional to 707.48, 974.25 and 510.65 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 974.25 = 510.65 : x
  2. Step 2: Convert to fraction form
    707.48/974.25 = 510.65/x
  3. Step 3: Cross multiply
    707.48x = 974.25 × 510.65
  4. Step 4: Simplify right side
    707.48x = 497,495.89
  5. Step 5: Solve for x
    x = 497,495.89/707.48
  6. Step 6: Final answer
    x = 703.20

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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.