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Finding the Fourth Proportional to 707.10, 975.51 and 510.18

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Solution

The fourth proportional to 707.10, 975.51 and 510.18 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 975.51 = 510.18 : x
  2. Step 2: Convert to fraction form
    707.10/975.51 = 510.18/x
  3. Step 3: Cross multiply
    707.10x = 975.51 × 510.18
  4. Step 4: Simplify right side
    707.10x = 497,685.69
  5. Step 5: Solve for x
    x = 497,685.69/707.10
  6. Step 6: Final answer
    x = 703.84

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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.