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Finding the Fourth Proportional to 841.39, 1,160.93 and 510.00

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Solution

The fourth proportional to 841.39, 1,160.93 and 510.00 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.39 : 1,160.93 = 510.00 : x
  2. Step 2: Convert to fraction form
    841.39/1,160.93 = 510.00/x
  3. Step 3: Cross multiply
    841.39x = 1,160.93 × 510.00
  4. Step 4: Simplify right side
    841.39x = 592,071.22
  5. Step 5: Solve for x
    x = 592,071.22/841.39
  6. Step 6: Final answer
    x = 703.68

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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.